Results 1 to 10 of about 3,233 (24)

Computing symmetry groups of polyhedra [PDF]

, 2014
Knowing the symmetries of a polyhedron can be very useful for the analysis of its structure as well as for practical polyhedral computations. In this note, we study symmetry groups preserving the linear, projective and combinatorial structure of a ...
Bremner, David, Pasechnik, Dmitrii V., Rehn, Thomas, Schürmann, Achill, Sikiric, Mathieu Dutour   +4 more
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Quantum logic is undecidable

, 2020
We investigate the first-order theory of closed subspaces of complex Hilbert spaces in the signature $(\lor,\perp,0,1)$, where `$\perp$' is the orthogonality relation.
Fritz, Tobias
core   +1 more source

Non-coherence of arithmetic hyperbolic lattices [PDF]

, 2010
We prove, under the assumption of the virtual fibration conjecture for arithmetic hyperbolic 3-manifolds, that all arithmetic lattices in O(n,1), n> 4, and different from 7, are non-coherent.
Bieri, Bridson, Deligne, Gromov, Hall, Hillman, Kazhdan, Liu, Maclachlan, Michael Kapovich, Platonov, Potyagaĭlo, Rogawski, Scott, Scott, Vinberg, Vinberg, Wall   +17 more
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Hurwitz ball quotients [PDF]

, 2014
We consider the analogue of Hurwitz curves, smooth projective curves $C$ of genus $g \ge 2$ that realize equality in the Hurwitz bound $|\mathrm{Aut}(C)| \le 84 (g - 1)$, to smooth compact quotients $S$ of the unit ball in $\mathbb{C}^2$.
Stover, Matthew
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Topological Lattice Gravity Using Self-Dual Variables [PDF]

, 1996
Topological gravity is the reduction of general relativity to flat space-times. A lattice model describing topological gravity is developed starting from a Hamiltonian lattice version of $B\w F$ theory.
Arnold V, Ashtekar A, Baez J, Baez J, Barrett J W, Boström O, Capovilla R, Capovilla R, Capovilla R, Cheeger J, Dubal M R, Dubal M R, Ellis G F R, Gambini R, Hartle J B, Horowitz G, Immirzi G, Immirzi G, José A Zapata, Katsymovsky V, Kheyferts A, Miller W A, Peldán P, Piran T, Regge T, Renteln P, Renteln P, Romer H, Sorkin R, Sorkin R, Thiemann T, Thiemann T, Thiemann T, Waelbroeck H, Waelbroeck H   +34 more
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Finite and infinite quotients of discrete and indiscrete groups

, 2018
These notes are devoted to lattices in products of trees and related topics. They provide an introduction to the construction, by M. Burger and S. Mozes, of examples of such lattices that are simple as abstract groups.
Agol, Bestvina, Burger, Camm, Cannon, Chinburg, Dahmani, Davis, Delzant, Dixon, Grigorchuk, Grigorchuk, Gromov, Higman, Higman, Higman, Jacobson, Katz, Kimberley, Kneser, Kuroš, Liebeck, Liebeck, Long, Margulis, Neumann, Neumann, Ol’shanskiĬ, Ol’shanskiĬ, Osin, Platonov, Rapinchuk, Rattaggi, Sageev, Tits, Tits, Wielandt, Wilson, Wilton, Wise, Wise   +40 more
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Representation growth and representation zeta functions of groups [PDF]

, 2012
We give a short introduction to the subject of representation growth and representation zeta functions of groups, omitting all proofs. Our focus is on results which are relevant to the study of arithmetic groups in semisimple algebraic groups, such as ...
Klopsch, Benjamin
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Characterization of Line Arrangement for which the Fundamental Group of the Complement is a Direct Product of Free Groups

, 2009
Kwai Man Fan proved that if the intersection lattice of a line arrangement does not contain a cycle, then the fundamental group of its complement is a direct sum of infinite and cyclic free groups.
Eran Liberman, Jiang, Johnson, Lyndon, Malka Schaps, Meital Eliyahu, Mina Teicher, Moishezon, Orlik, Wang   +9 more
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Group actions on 1-manifolds: a list of very concrete open questions

, 2018
This text focuses on actions on 1-manifolds. We present a (non exhaustive) list of very concrete open questions in the field, each of which is discussed in some detail and complemented with a large list of references, so that a clear panorama on the ...
Navas, Andrés
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A walk in the noncommutative garden [PDF]

, 2006
This text is written for the volume of the school/conference "Noncommutative Geometry 2005" held at IPM Tehran. It gives a survey of methods and results in noncommutative geometry, based on a discussion of significant examples of noncommutative spaces in
Connes, Alain, Marcolli, Matilde
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