Publications
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Publications |
Preprints
Focus Area 1: High-complexity Geometry
Generic rigidity of frameworks with orientation-preserving crystallographic symmetryhttp://arxiv.org/abs/1108.2518Justin Malestein, Louis Theran Preprint August 2010, Revised February 2012, 70 pages |
Topological designshttp://arxiv.org/abs/1008.1837Justin Malestein, Louis Theran Preprint August 2010, Revised and submitted May 2012, 60 pages |
Many non-equivalent realizations of the associahedronhttp://arxiv.org/abs/1109.5544Cesar Ceballos, Francisco Santos, Günter M. Ziegler Preprint September 2011, 28 pages |
Face numbers of centrally symmetric polytopes from split graphshttp://arxiv.org/abs/1201.5790Ragnar Freij, Matthias Henze, Moritz W. Schmitt, Günter M. Ziegler Preprint, January 2012, 10 pages |
Generic rigidity of reflection frameworkshttp://arxiv.org/abs/1203.0772Justin Malestein, Louis Theran Preprint, March 2012, 21 pages |
Generic rigidity with forced symmetry and sparse colored graphshttp://arxiv.org/abs/1203.2276"Justin Malestein, Louis Theran Preprint, March 2012, 14 pages |
Henneberg constructions and covers of cone-Laman graphshttp://arxiv.org/abs/1204.0503Louis Theran Preprint, April 2012, 14 pages |
Arithmetic of marked poset polytopes, monotone triangle reciprocity,and partial coloringshttp://arxiv.org/abs/1206.4066Katharina Jochemko, Raman Sanyal Preprint, June 2012, 16 pages |
Smooth hyperbolicity cones are spectrahedral shadowshttp://arxiv.org/abs/1208.0441Tim Netzer, Raman Sanyal Preprint, August 2012, 8 pages |
The algebraic combinatorial approach for low-rank matrix completionhttp://arxiv.org/abs/1211.4116Franz Kiraly, Louis Theran, Ryota Tomioka, Takeaki Uno Preprint, November 2012, 79 pages |
Laplacian ideals, arrangements, and resolutionshttp://arxiv.org/abs/1212.6244Anton Dochtermann, Raman Sanyal Preprint, December 2012, 18 pages |
Many polytopes with low-dimensional realization spacehttp://arxiv.org/abs/1212.5812Karim Adiprasito, Günter M. Ziegler |
Focus Area 3: Topological connectivity and diameter of Discrete Structures
Discrete Morse Theory is at least as perfect as Morse Theoryhttp://arxiv.org/pdf/1010.0548Bruno Benedetti Preprint, October. 2010, revised January 2012, 17 pages, submitted |
Metric geometry and collapsibilityhttp://arxiv.org/abs/1107.5789Karim Adiprasito, Bruno Benedetti Preprint, July 2011, revised January 2012, submitted |
Tight complexes in 3-space admit perfect discrete Morse functionshttp://arxiv.org/abs/1202.3390Karim Adiprasito, Bruno Benedetti Preprint, February 2012, revised April 2012 |
Equivariant topology of configuration spaceshttp://arxiv.org/abs/1207.2852Pavle V. M. Blagojević, Wolfgang Lück, Günter M. Ziegler Preprint, July 2012, 40 pages |
The Schwarz genus of the Stiefel manifold and counting geometric configurationshttp://arxiv.org/pdf/1211.5003v1.pdfPavle Blagojević, Roman Karasev Preprint, November 2012, 7 pages |
Published
Focus Area 1: High-complexity Geometry
Generic combinatorial rigidity of periodic frameworkshttp://arxiv.org/abs/1008.3710Justin Malestein, Igor Rivin, Louis Theran Advances in Mathematics, to appear |
Realizing the associahedron: Mysteries and questionshttp://arxiv.org/abs/1110.4059Cesar Ceballos, Günter M. Ziegler “Associahedra, Tamari Lattices and Related Structures”, Tamari Memorial Festschrift Progress in Mathematics, Vol. 299, Springer Basel 2012, 119-127; |
Selfdual substitutions in dimension Onehttp://arxiv.org/pdf/1108.5053v2Valérie Berthé, Dirk Frettlöh, Victor Sirvent European Journal of Combinatorics 33 (2012) 981-1000 |
Perfect colourings of cyclotomic integershttp://arxiv.org/abs/0905.4048E. Paulo Bugarin, M. Louise A.N. de las Penas, Dirk Frettlöh Geometriae Didacta 162 (2013) 271-282 |
Foldable triangulations of lattice Polygonshttp://arxiv.org/abs/1207.6865Michael Joswig, Günter M. Ziegler American Math. Monthly, to appear |
Parallelogram tilings, worms and finite orientationshttp://arxiv.org/abs/1202.4686Dirk Frettlöh, Edmund Harriss Discrete Computational Geometry, to appear |
Infinitesimal rigidity of smooth convex surfaces through the second derivative of the Hilbert-Einstein functionalhttp://arxiv.org/abs/1105.5067Ivan Izmestiev Dissertationes Math., to appear |
Focus Area 2: Delaunay Geometry
Optimal elliptic Sobolev regularity near three-dimensional, multi-material Neumann verticesRobert Haller-Dintelmann, Wolfgang Höppner, Hans-Christoph Kaiser, Joachim Rehberg, Günter M. ZieglerFunctional Analysis and its Applications, to appear |
Inscribable stacked polytopeshttp://arxiv.org/abs/1111.5322Bernd Gonska, Günter M. Ziegler Advances in Geometry, to appear |
Focus Area 3: Topological connectivity and diameter of Discrete Structures
On locally constructible spheres and ballsBruno Benedetti, Günter M. ZieglerActa Mathematica 206 (2011), 205-243 |
Spectral sequences in combinatorial geometry: Cheeses, inscribed sets, and Borsuk–Ulam type theoremsPavle V. M. Blagojevic, Aleksandra Dimitrijevic Blagojevic, John McClearyTopology and its Applications 158 (2011), 1920-1936 |
A tight colored Tverberg theorem for maps to manifolds (extended abstract)Pavle V. M. Blagojević, Benjamin Matschke, Günter M. ZieglerIn Proc. FPSAC 2011 (Reykjavík, Iceland), Discrete Mathematics and Theoretical Computer Science (DMTCS), Vol. AO, http://www.dmtcs.org, page 183–190, 2011. |
A tight colored Tverberg theorem for maps to manifoldshttp://arxiv.org/abs/1107.1904Pavle V. M. Blagojević, Benjamin Matschke, Günter M. Ziegler Topology and its Applications 158 (2011), 1445–1452. http://www.sciencedirect.com/science/article/pii/S0166864111001635 |
Optimal bounds for a colorful Tverberg-Vrecica type problemhttp://arxiv.org/abs/0911.2692Pavle Blagojević, Benjamin Matschke, Günter M. Ziegler Advances in Math. 226 (2011), 5198-5215 |
Turán numbers for K(s,t)-free graphs: topological obstructions and algebraic constructionshttp://arxiv.org/abs/1108.5254Pavle Blagojević, Boris Bukh, Roman Karasev Israel Journal of Mathematics (2013) DOI: 10.1007/s11856-012-0184-z |
Functions, measures, and equipartitioning convex k-fansImre Barany, Pavle Blagojevic, Aleksandra Dimitrijevic BlagojevicDiscrete and Computational Geometry, to appear |
A problem related to Barany-Grünbaum conjecturePavle Blagojevic, Aleksandra Dimitrijevic BlagojevicFilomat 27:1 (2013), 103-107 http://www.pmf.ni.ac.rs/pmf/publikacije/filomat/2013/27-1/27-1-2012-contents.htm |
Convex equipartitions via equivariant obstruction theoryhttp://arxiv.org/abs/1202.5504Pavle V. M. Blagojević, Günter M. Ziegler Israel J. Math, to appear |
Discrete Morse Theory for manifolds with boundaryhttp://arxiv.org/pdf/1007.3175Bruno Benedetti Transactions of the AMS 364 (2012), 6631-6670 |
Extensions of theorems of Rattray and Makeevhttp://arxiv.org/pdf/1011.0869Pavle V. M. Blagojevic, Roman Karasev Topological Methods in Nonlinear Analysis, Vol. 40, No. 1, 2012, 189-214 |
The ideal-valued index for a dihedral group action, and mass partition by two hyperplanesPavle V.M. Blagojević, Günter M. Ziegler |
Turán numbers for K(s,t)-free graphs: topological obstructions and algebraic constructionsPavle Blagojević, Boris Bukh, Roman Karasev |
The Bárány–Larman conjecture and the colored Tverberg theoremsPavle V.M. Blagojević, Benjamin Matschke, Günter M. Ziegler DOI: 10.4171/OWR/2011/08 |