Results 81 to 90 of about 75,652 (194)
On the Euler characteristic of S$S$‐arithmetic groups
Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
wiley +1 more source
STABILITY, COHOMOLOGY VANISHING, AND NONAPPROXIMABLE GROUPS
Several well-known open questions (such as: are all groups sofic/hyperlinear?) have a common form: can all groups be approximated by asymptotic homomorphisms into the symmetric groups $\text{Sym}(n)$ (in the sofic case) or the finite-dimensional unitary ...
MARCUS DE CHIFFRE +3 more
doaj +1 more source
The L$L$‐polynomials of van der Geer–van der Vlugt curves in characteristic 2
Abstract The van der Geer–van der Vlugt curves form a class of Artin–Schreier coverings of the projective line over finite fields. We provide an explicit formula for their L$L$‐polynomials in characteristic 2, expressed in terms of characters of maximal abelian subgroups of the associated Heisenberg groups.
Tetsushi Ito +2 more
wiley +1 more source
In 1969, Jean-Marie Souriau introduced a “Lie Groups Thermodynamics” in Statistical Mechanics in the framework of Geometric Mechanics. This Souriau’s model considers the statistical mechanics of dynamic systems in their “space of evolution” associated to
Frédéric Barbaresco
doaj +1 more source
On 2-form gauge models of topological phases
We explore 2-form topological gauge theories in (3+1)d. These theories can be constructed as sigma models with target space the second classifying space B 2 G of the symmetry group G, and they are classified by cohomology classes of B 2 G.
Clement Delcamp, Apoorv Tiwari
doaj +1 more source
Cohomology and Crossed Modules of Modified Rota–Baxter Pre-Lie Algebras
The goal of the present paper is to provide a cohomology theory and crossed modules of modified Rota–Baxter pre-Lie algebras. We introduce the notion of a modified Rota–Baxter pre-Lie algebra and its bimodule.
Fuyang Zhu, Wen Teng
doaj +1 more source
Transfers for ramified covering maps in homology and cohomology
Making use of a modified version, due to McCord, of the Dold-Thom construction of ordinary homology, we give a simple topological definition of a transfer for ramified covering maps in homology with arbitrary coefficients.
Marcelo A. Aguilar, Carlos Prieto
doaj +1 more source
Computational Tools for Cohomology of Toric Varieties
Novel nonstandard techniques for the computation of cohomology classes on toric varieties are summarized. After an introduction of the basic definitions and properties of toric geometry, we discuss a specific computational algorithm for the determination
Ralph Blumenhagen +2 more
doaj +1 more source
Modq cohomology and Tate–Vogel cohomology of groups
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Conduché, Daniel +2 more
openaire +2 more sources
One-dimensional super Calabi-Yau manifolds and their mirrors
We apply a definition of generalised super Calabi-Yau variety (SCY) to supermanifolds of complex dimension one. One of our results is that there are two SCY’s having reduced manifold equal to ℙ 1 $$ {\mathrm{\mathbb{P}}}^1 $$ , namely the projective ...
S. Noja +4 more
doaj +1 more source

