Results 1 to 10 of about 3,310 (97)

Computing symmetry groups of polyhedra [PDF]

open access: yes, 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   +4 more
core   +2 more sources

Quantum logic is undecidable

open access: yes, 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]

open access: yes, 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   +17 more
core   +2 more sources

Non-Abelian Analogs of Lattice Rounding [PDF]

open access: yes, 2015
Lattice rounding in Euclidean space can be viewed as finding the nearest point in the orbit of an action by a discrete group, relative to the norm inherited from the ambient space. Using this point of view, we initiate the study of non-abelian analogs of
Begelfor, Evgeni   +2 more
core   +2 more sources

Hurwitz ball quotients [PDF]

open access: yes, 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
core   +1 more source

Homotopy in statistical physics [PDF]

open access: yes, 2006
In condensed matter physics and related areas, topological defects play important roles in phase transitions and critical phenomena. Homotopy theory facilitates the classification of such topological defects.
Kenna, Ralph
core   +4 more sources

Characterization of Line Arrangement for which the Fundamental Group of the Complement is a Direct Product of Free Groups

open access: yes, 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   +9 more
core   +1 more source

On cubic functors

open access: yes, 2002
We prove that the description of cubic functors is a wild problem in the sense of the representation theory. On the contrary, we describe several special classes of such functors (2-divisible, weakly alternative, vector spaces and torsion free ones).
Drozd, Yuriy
core   +2 more sources

Linearity and Compound Physical Systems: The Case of Two Separated Spin 1/2 Entities

open access: yes, 2002
We illustrate some problems that are related to the existence of an underlying linear structure at the level of the property lattice associated with a physical system, for the particular case of two explicitly separated spin 1/2 objects that are ...
Aerts, Diederik, Valckenborgh, Frank
core   +3 more sources

Special subvarieties of non-arithmetic ball quotients and Hodge Theory

open access: yes, 2020
Let $\Gamma \subset \operatorname{PU}(1,n)$ be a lattice, and $S_\Gamma$ the associated ball quotient. We prove that, if $S_\Gamma$ contains infinitely many maximal totally geodesic subvarieties, then $\Gamma$ is arithmetic.
Baldi, Gregorio, Ullmo, Emmanuel
core  

Home - About - Disclaimer - Privacy