:@ARTICLE{Bagchi08LBTNormPseudoMnf,
  author = {Bhaskar Bagchi and Basudeb Datta},
  title = {{L}ower bound theorem for normal pseudomanifolds},
  journal = {Expo. Math.},
  year = {2008},
  volume = {26},
  pages = {327--351},
  number = {4},
  fjournal = {Expositiones Mathematicae},
}

@article {Conder09RegMapsOfBdChi,
    AUTHOR = {Conder, Marston D. E.},
     TITLE = {Regular maps and hypermaps of {E}uler characteristic {$-1$} to
              {$-200$}},
   JOURNAL = {J. Combin. Theory Ser. B},
  FJOURNAL = {Journal of Combinatorial Theory. Series B},
    VOLUME = {99},
      YEAR = {2009},
    NUMBER = {2},
     PAGES = {455--459},
      ISSN = {0095-8956},
     CODEN = {JCBTB8},
   MRCLASS = {05C30},
  MRNUMBER = {2482963 (2010b:05084)},
       DOI = {10.1016/j.jctb.2008.09.003},
       URL = {http://dx.doi.org/10.1016/j.jctb.2008.09.003},
}

@ARTICLE{Sparla99LBTComb2kMnf,
  author = {Eric Sparla},
  title = {{A} new lower bound theorem for combinatorial {$2k$}-manifolds},
  journal = {Graphs Combin.},
  year = {1999},
  volume = {15},
  pages = {109--125},
  number = {1},
  fjournal = {Graphs and Combinatorics},
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}

@MISC{Klee11CentSymmMnfFewVert,
  author = {Steven Klee and Isabella Novik},
  title = {{C}entrally symmetric manifolds with few vertices},
  howpublished = {{\tt arXiv:1102.0542v1 [math.CO]}, Preprint, 15 pages},
  year = {2011}
}
	
	
@MISC{Bagchi08OnWalkupKd,
  author = {Bhaskar Bagchi and Basudeb Datta},
  title = {{O}n {W}alkup's class $\mathcal{K}(d)$ and a minimal triangulation
	of a 4-manifold},
  howpublished = {{\tt arXiv:0804.2153v1 [math.GT]}, Preprint, 8 pages},
  year = {2008}
}

@ARTICLE{Banchoff65TightEmb3DimPolyMnf,
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  year = {1965},
  volume = {87},
  pages = {462--472},
  fjournal = {American Journal of Mathematics},
}

@ARTICLE{Banchoff74TightPolyKBProjPMB,
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  year = {1974},
  volume = {207},
  pages = {233--243},
  fjournal = {Mathematische Annalen},
  issn = {0025-5831},
  mrclass = {57C35},
  mrnumber = {MR0339191 (49 \#3954)},
  mrreviewer = {Steve Fisk}
}

@INCOLLECTION{Banchoff97TightSubmSmoothPoly,
  author = {Thomas F. Banchoff and Wolfgang K{\"u}hnel},
  title = {{T}ight submanifolds, smooth and polyhedral},
  booktitle = {Tight and taut submanifolds ({B}erkeley, {CA}, 1994)},
  publisher = {Cambridge Univ. Press},
  year = {1997},
  volume = {32},
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  address = {Cambridge},
}

@ARTICLE{HomAlg,
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  year = {2008},
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  pages = {299--317},
  number = {3},
  doi = {10.1142/S0219498808002813},
  fjournal = {Journal of Algebra and its Applications},
  issn = {0219-4988},
  mrclass = {16E30 (16-04)},
  mrnumber = {2431811 (2009f:16010)},
  mrreviewer = {Mikael Vejdemo Johansson},
  url = {http://dx.doi.org/10.1142/S0219498808002813}
}

@ARTICLE{Bjoerner00SimplMnfBistellarFlips,
  author = {Anders Bj{\"o}rner and Frank H. Lutz},
  title = {{S}implicial manifolds, bistellar flips and a 16-vertex triangulation
	of the {P}oincar{\'e} homology 3-sphere},
  journal = {Experiment. Math.},
  year = {2000},
  volume = {9},
  pages = {275--289},
  number = {2},
  fjournal = {Experimental Mathematics},
  issn = {1058-6458}
}


@ARTICLE{Datta07MinTrigManifolds,
  author = {Basudeb Datta},
  title = {{M}inimal triangulations of manifolds},
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  year = {2007},
  volume = {87},
  pages = {429--449},
  number = {4},
  fjournal = {Journal of the Indian Institute of Science. A Multidisciplinary Reviews
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  issn = {0970-4140}
}

@MISC{Dumas04Homology,
  author = {J.-G. Dumas and F. Heckenbach and B. D. Saunders and V. Welker},
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  howpublished = {{\url{http://www.cis.udel.edu/~dumas/Homology/}}},
  year = {2004},
  url = {http://www.cis.udel.edu/~dumas/Homology/}
}

@INCOLLECTION{Desbrun08DiscDiffFormCompModel,
  author = {Mathieu Desbrun and Eva Kanso and Yiying Tong},
  title = {{D}iscrete differential forms for computational modeling},
  booktitle = {Discrete differential geometry},
  publisher = {Birkh\"auser},
  year = {2008},
  volume = {38},
  series = {Oberwolfach Semin.},
  pages = {287--324},
  address = {Basel},
}

@ARTICLE{Effenberger09StackPolyTightTrigMnf,
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  title = {{S}tacked polytopes and tight triangulations of manifolds},
  journal = {Journal of Combinatorial Theory, Series A},
  year = {2011},
  volume = {118},
  pages = {1843 - 1862},
  number = {6},
  doi = {DOI: 10.1016/j.jcta.2011.03.003},
  issn = {0097-3165}
}

@BOOK{Effenberger10Diss,
  title = {{H}amiltonian submanifolds of regular polytopes},
  publisher = {Logos Verlag, Berlin},
  year = {2011},
  author = {Felix Effenberger},
  note = {Dissertation, University of Stuttgart, 2010},
}

@incollection{Forman95DiscrMorseTheoryCellCompl,
    AUTHOR = {Robin Forman},
     TITLE = {A discrete {M}orse theory for cell complexes},
 BOOKTITLE = {Geometry, topology, \& physics},
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     PAGES = {112--125},
 PUBLISHER = {Int. Press, Cambridge, MA},
      YEAR = {1995},
   MRCLASS = {57Q99},
  MRNUMBER = {MR1358614 (97g:57030)},
MRREVIEWER = {Wolfgang K{\"u}hnel},
}

@book {Huppert67EndlGruppen,
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     TITLE = {Endliche {G}ruppen. {I}},
    SERIES = {Die Grundlehren der Mathematischen Wissenschaften, Band 134},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1967},
     PAGES = {xii+793},
   MRCLASS = {20.25},
  MRNUMBER = {0224703 (37 \#302)},
MRREVIEWER = {J. H. Walter},
}

@INCOLLECTION{Joswig00Polymake,
  author = {Ewgenij Gawrilow and Michael Joswig},
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  booktitle = {Polytopes---combinatorics and computation (Oberwolfach, 1997)},
  publisher = {Birkh{\"a}user},
  year = {2000},
  volume = {29},
  series = {DMV Sem.},
  pages = {43--73},
  address = {Basel}
}


@BOOK{Gruenbaum03ConvPoly,
  title = {{C}onvex polytopes},
  publisher = {Springer-Verlag},
  year = {2003},
  author = {Branko Gr{\"u}nbaum},
  volume = {221},
  pages = {xvi+468},
  series = {Graduate Texts in Mathematics},
  address = {New York},
  edition = {Second},
  note = {Prepared and with a preface by Volker Kaibel, Victor Klee and G{\"u}nter
	M.\ Ziegler},
  isbn = {0-387-00424-6; 0-387-40409-0}
}

@BOOK{Hudson69PLTop,
  title = {{P}iecewise linear topology},
  publisher = {W. A. Benjamin, Inc., New York-Amsterdam},
  year = {1969},
  author = {John F. P. Hudson},
  pages = {ix+282},
  series = {University of Chicago Lecture Notes prepared with the assistance
	of J. L. Shaneson and J. Lees}
}

@ARTICLE{Kuehnel86HigherDimCsaszar,
  author = {Wolfgang K{\"u}hnel},
  title = {{H}igher dimensional analogues of {C}s{\'a}sz{\'a}r's torus},
  journal = {Results Math.},
  year = {1986},
  volume = {9},
  pages = {95--106}
}

@INCOLLECTION{Kuehnel94ManSkelConvPolyt,
  author = {Wolfgang K{\"u}hnel},
  title = {{M}anifolds in the skeletons of convex polytopes, tightness, and
	generalized {H}eawood inequalities},
  booktitle = {Polytopes: abstract, convex and computational (Scarborough, ON, 1993)},
  publisher = {Kluwer Acad. Publ.},
  year = {1994},
  volume = {440},
  series = {NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci.},
  pages = {241--247},
  address = {Dordrecht}
}

@BOOK{Kuehnel95TightPolySubm,
  title = {{T}ight polyhedral submanifolds and tight triangulations},
  publisher = {Springer-Verlag},
  year = {1995},
  author = {Wolfgang K{\"u}hnel},
  volume = {1612},
  pages = {vi+122},
  series = {Lecture Notes in Mathematics},
  address = {Berlin},
  isbn = {3-540-60121-X}
}

@ARTICLE{Kuehnel99CensusTight,
  author = {Wolfgang K{\"u}hnel and Frank H. Lutz},
  title = {{A} census of tight triangulations},
  journal = {Period. Math. Hungar.},
  year = {1999},
  volume = {39},
  pages = {161--183},
  number = {1-3},
  note = {{D}iscrete geometry and rigidity ({B}udapest, 1999)},
  coden = {PMHGAW},
  fjournal = {Periodica Mathematica Hungarica. Journal of the J{\'a}nos Bolyai Mathematical
	Society},
  issn = {0031-5303}
}

@INCOLLECTION{Kuiper84GeomTotAbsCurvTheo,
  author = {Nicolaas H. Kuiper},
  title = {{G}eometry in total absolute curvature theory},
  booktitle = {Perspectives in mathematics},
  publisher = {Birkh{\"a}user},
  year = {1984},
  pages = {377--392},
  address = {Basel}
}

@MISC{Lutz08ManifoldPage,
  author = {Frank H. Lutz},
  title = {{T}he {M}anifold {P}age},
  howpublished = {{\url{http://www.math.tu-berlin.de/diskregeom/stellar}}},
  key = {ManifoldPage},
  keywords = {minimal triangulations, vertex transitive triangulations},
  url = {http://www.math.tu-berlin.de/diskregeom/stellar/}
}

@PHDTHESIS{Lutz03TrigMnfFewVertVertTrans,
  author = {Frank H. Lutz},
  title = {{T}riangulated {M}anifolds with {F}ew {V}ertices and {V}ertex-{T}ransitive
	{G}roup {A}ctions},
  school = {TU Berlin},
  year = {2003},
}

@MISC{Lutz05TrigMnfFewVertCombMnf,
  author = {Frank H. Lutz},
  title = {{T}riangulated {M}anifolds with {F}ew {V}ertices: {C}ombinatorial
	{M}anifolds},
  howpublished = {{\tt arXiv:math/0506372v1 [math.CO]}, Preprint, 37 pages},
  year = {2005}
}

@MISC{McKay84Nauty,
  author = {Brendan McKay},
  title = {The nauty page},
  howpublished = {{\url{http://cs.anu.edu.au/people/bdm/nauty/}}},
  year = {1984},
  url = {http://cs.anu.edu.au/people/bdm/nauty/}
}


@BOOK{Milnor63MorseTheory,
  title = {{M}orse theory},
  publisher = {Princeton University Press},
  year = {1963},
  author = {John W. Milnor},
  pages = {vi+153},
  series = {Based on lecture notes by M. Spivak and R. Wells. Annals of Mathematics
	Studies, No. 51},
  address = {Princeton, N.J.},
  mrclass = {57.50 (53.72)},
  mrnumber = {MR0163331 (29 \#634)},
  mrreviewer = {H. I. Levine}
}



@ARTICLE{Pachner87KonstrMethKombHomeo,
  author = {Udo Pachner},
  title = {{K}onstruktionsmethoden und das kombinatorische {H}om\"{o}omorphieproblem
	f\"{u}r {T}riangulierungen kompakter semilinearer {M}annigfaltigkeiten},
  journal = {Abh. Math. Sem. Uni. Hamburg},
  year = {1987},
  volume = {57},
  pages = {69--86},
}

@BOOK{Ringel74MapColThm,
  title = {{M}ap color theorem},
  publisher = {Springer-Verlag},
  year = {1974},
  author = {Gerhard Ringel},
  pages = {xii+191},
  address = {New York},
  note = {Die Grundlehren der mathematischen Wissenschaften, Band 209}
}


@MISC{Roeder07Polymaking,
  author = {Marc R\"{o}der},
  title = {{GAP} package polymaking},
  howpublished = {{\url{http://www.gap-system.org/Packages/polymaking.html}}},
  year = {2007},
  url = {http://www.gap-system.org/Packages/polymaking.html}
}

@BOOK{Rourke72IntrPLTop,
  title = {{I}ntroduction to piecewise-linear topology},
  publisher = {Springer-Verlag},
  year = {1972},
  author = {Colin P. Rourke and Brian J. Sanderson},
  pages = {viii+123},
  address = {New York},
  note = {Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 69}
}

@ARTICLE{Schulz94PolyhMnfPoly,
  author = {Christoph Schulz},
  title = {{P}olyhedral manifolds on polytopes},
  journal = {Rend. Circ. Mat. Palermo (2) Suppl.},
  year = {1994},
  pages = {291--298},
  number = {35},
  note = {First International Conference on Stochastic Geometry, Convex Bodies
	and Empirical Measures (Palermo, 1993)},
  fjournal = {Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento}
}

@MISC{Soicher06GRAPE,
  author = {Leonard H. Soicher},
  title = {{GRAPE - GRaph Algorithms using PErmutation groups}},
  howpublished = {{\url{http://www.gap-system.org/Packages/grape.html}}},
  year = {2006},
  note = {{Version 4.3}},
}

@ARTICLE{Spreer09CombPorpsOfK3,
  author = {Jonathan Spreer and Wolfgang K{\"u}hnel},
  title = {{C}ombinatorial properties of the {K}3 surface: {S}implicial blowups
	and slicings},
  journal = {Experiment. Math.},
  year = {2011},
  volume = {20},
  pages = {201--216},
  number = {2},
  file = {:/home/spreerjn/LaTeX/dissbib/paper/Spreer09CombBlowupsK3.pdf:PDF},
  url = {http://www.igt.uni-stuttgart.de/LstDiffgeo/Spreer/K3}
}

@MISC{Spreer10Diss,
  author = {Jonathan Spreer},
  title = {Blowups, slicings and permutation groups in combinatorial topology},
  year = {2010},
  note = {In preparation},
  owner = {spreerjn},
  timestamp = {2010.09.16}
}

@ARTICLE{Spreer10NormSurfsCombSlic,
  author = {Jonathan Spreer},
  title = {{N}ormal surfaces as combinatorial slicings},
  journal = {Discrete Math.},
  year = {2011},
  volume = {311},
  pages = {1295--1309},
  number = {14},
  note = {{\tt doi:10.1016/j.disc.2011.03.013}},
  file = {:/home/spreerjn/LaTeX/dissbib/paper/Spreer10NormSurfCombSlicings.pdf:PDF}
}

@BOOK{Ziegler95LectPolytopes,
  title = {{L}ectures on polytopes},
  publisher = {Springer-Verlag},
  year = {1995},
  author = {G{\"u}nter M. Ziegler},
  volume = {152},
  pages = {x+370},
  series = {Graduate Texts in Mathematics},
  address = {New York},
  isbn = {0-387-94365-X}
}



@article{Frohmader08FaceVecFlagCompl,
    AUTHOR = {Frohmader, Andrew},
     TITLE = {Face vectors of flag complexes},
   JOURNAL = {Israel J. Math.},
  FJOURNAL = {Israel Journal of Mathematics},
    VOLUME = {164},
      YEAR = {2008},
     PAGES = {153--164},
      ISSN = {0021-2172},
     CODEN = {ISJMAP},
}

@ARTICLE{Hirzebruch1953,
  author = {Friedrich E. P. Hirzebruch},
  title = {\"Uber vierdimensionale Riemannsche Fl\"achen mehrdeutiger analyti\-scher
	Funktionen von zwei komplexen Ver\"anderlichen},
  journal = {Math. Ann.},
  year = {1953},
  volume = {126},
  pages = {1 -- 22},
  owner = {spreerjn},
  timestamp = {2010.09.08}
}
@INCOLLECTION{Hauser2000,
  author = {Herwig Hauser},
  title = {Resolution of singularities 1860--1999},
  booktitle = {Resolution of singularities ({O}bergurgl, 1997)},
  publisher = {Birkh\"auser},
  year = {2000},
  volume = {181},
  series = {Progr. Math.},
  pages = {5--36},
  address = {Basel},
  mrclass = {14-03 (01A55 01A60 14E15)},
  mrnumber = {1748616 (2001g:14001)},
  mrreviewer = {Vincent Cossart}
}
@ARTICLE{Hopf1951,
  author = {Heinz Hopf},
  title = {\"{U}ber komplex-analytische {M}annigfaltigkeiten},
  journal = {Univ. Roma. Ist. Naz. Alta Mat. Rend. Mat. e Appl. (5)},
  year = {1951},
  volume = {10},
  pages = {169--182}
}
@ARTICLE{Spanier56HomKummerMnf,
  author = {Edwin H. Spanier},
  title = {{T}he homology of {K}ummer manifolds},
  journal = {Proc. AMS},
  year = {1956},
  volume = {7},
  pages = {155--160}
}

@MISC{M2,
  author = {Daniel R. Grayson and Michael E. Stillman},
  title = {{M}acaulay2, a software system for research in algebraic geometry,
	{V}ersion 1.3.1},
  howpublished = {\url{http://www.math.uiuc.edu/Macaulay2/}},
  year = {2009}
}

@ARTICLE{Haken61TheoNormFl,
  author = {Wolfgang Haken},
  title = {{T}heorie der {N}ormalfl{\"a}chen},
  journal = {Acta Math.},
  year = {1961},
  volume = {105},
  pages = {245--375},
  file = {:Haken61TheorieNormFl.pdf:PDF},
  fjournal = {Acta Mathematica},
  issn = {0001-5962}
}

@ARTICLE{Kneser29ClosedSurfIn3Mflds,
  author = {Hellmuth Kneser},
  title = {{Geschlossene Fl\"{a}chen in dreidimensionalen Mannigfaltigkeiten}},
  journal = {Jahresbericht der deutschen Mathematiker-Vereinigung},
  year = {1929},
  volume = {38},
  pages = {248--260}
}

@ARTICLE{Casella01TrigK3MinNumVert,
  author = {Mario Casella and Wolfgang K{\"u}hnel},
  title = {{A} triangulated {$K3$} surface with the minimum number of vertices},
  journal = {Topology},
  year = {2001},
  volume = {40},
  pages = {753--772},
  number = {4},
  coden = {TPLGAF},
  file = {:Casella01TrigK3SurfMin.pdf:PDF},
  fjournal = {Topology. An International Journal of Mathematics},
  issn = {0040-9383}
}

@MISC{Spreer10SupplMatToBetaK,
 author               = {Jonathan Spreer},
 howpublished         = {{\tt 	arXiv:1009.2642v1 [math.CO]}, preprint, 12 pages, 1 figure},
 owner                = {spreerjn},
 pages                = {459},
 timestamp            = {2010.07.06},
 title                = {{S}upplemental material to the article ``{P}artitioning the triangles of the cross polytope into surfaces''},
 year                 = {2010},
 note		      = {{T}o appear in {B}eitr. {A}lgebra {G}eom.}
 }

@misc{Spreer10PartBetaK,
 author               = {Jonathan Spreer},
 howpublished         = {{\tt 	arXiv:1009.2642v1 [math.CO]}, preprint, 12 pages, 1 figure},
 owner                = {spreerjn},
 timestamp            = {2010.07.06},
 title                = {{P}artitioning the triangles of the cross polytope into surfaces},
 year                 = {2010},
 note		      = {{T}o appear in {B}eitr. {A}lgebra {G}eom.}
 }

@misc{Spreer12VarCyclPolytope,
 author               = {Jonathan Spreer},
 owner                = {spreerjn},
 pages                = {459},
 timestamp            = {2010.07.06},
 title                = {{C}ombinatorial Seifert Fibred spaces with transitive cyclic automorphism group},
 year                 = {2013},
 note		      = {{I}n preparation}
 }

@INPROCEEDINGS{Breuer98GAP4TypeSystem,
  author = {Breuer, Thomas and Linton, Steve},
  title = {The GAP 4 type system: organising algebraic algorithms},
  booktitle = {Proceedings of the 1998 international symposium on Symbolic and algebraic
	computation},
  year = {1998},
  series = {ISSAC '98},
  pages = {38--45},
  address = {New York, NY, USA},
  publisher = {ACM},
  acmid = {281540},
  doi = {http://doi.acm.org/10.1145/281508.281540},
  isbn = {1-58113-002-3},
  location = {Rostock, Germany},
  numpages = {8},
  url = {http://doi.acm.org/10.1145/281508.281540}
}

@misc{Brehm09LatticeTrigE33Torus,
  author = {U.~Brehm and W.~K\"uhnel},
  title = {Lattice triangulations of {$E^3$} and of the $3$-torus},
  year = {2009},
  note = {{To appear in Israel J. Math.}}
}

@article{Brehm08EquivMapsTorus,
 author               = {Ulrich Brehm and Wolfgang K{\"u}hnel},
 fjournal             = {European Journal of Combinatorics},
 issn                 = {0195-6698},
 journal              = {European J. Combin.},
 number               = {8},
 pages                = {1843--1861},
 title                = {{E}quivelar maps on the torus},
 volume               = {29},
 year                 = {2008},
 }

@misc{Spreer11CyclicCombMflds,
 author               = {Jonathan Spreer},
 howpublished         = {Stuttgarter Math. Berichte, 2011/028},
 owner                = {uqjspree},
 timestamp            = {2012.03.09},
 title                = {Combinatorial 3-manifolds with a cyclic automorphism group},
 year                 = {2011},
 }

@misc{regina,
 author               = {Benjamin A. Burton, Ryan Budney, William Pettersson, et al.},
 howpublished         = {{\tt http://\allowbreak regina.\allowbreak sourceforge.\allowbreak net/}},
 title                = {Regina: Software for 3-manifold topology and normal surface theory, Version 4.9.2},
 year                 = {1999--2012},
 }

@misc{SnapPea,
 author               = {Jeff Weeks},
 note                 = {\url{http://www.geometrygames.org/SnapPea/}},
 owner                = {spreerjn},
 timestamp            = {2009.10.05},
 title                = {{S}nap{P}ea ({S}oftware for hyperbolic $3$-manifolds)},
 year                 = {1999},
 }
