Results 111 to 120 of about 6,349 (237)
The Configuration Space of Two Particles Moving on a Graph [PDF]
In this thesis we study the configuration space, F (Γ, 2), of two particles moving without collisions on a graph Γ with a view to calculating the Betti numbers of this space. We develop an intersection theory for cycles in graphs inspired by the classical
BARNETT, KATHRYN
core
Local control of group cohomology
An isomorphism of group cohomology and equivariant cohomology yields a variation of a theorem of P. Webb, describing the p-component of the cohomology with trivial integer coefficients of certain finite groups as an alternating sum of cohomologies of ...
Maginnis, John
core +1 more source
Lie Group Cohomology and (Multi)Symplectic Integrators: New Geometric Tools for Lie Group Machine Learning Based on Souriau Geometric Statistical Mechanics. [PDF]
Barbaresco F, Gay-Balmaz F.
europepmc +1 more source
A construction of semi-infinite de Rham cohomology [PDF]
The purpose of this thesis is to describe a construction of semi-infinite de Rham cohomology for infinite dimensional manifolds equipped with the extra structure of a polarisation.
Stacey, Andrew Edgell
core
Definable group extensions and o-minimal group cohomology via spectral sequences [PDF]
We provide the theoretical foundation for the Lyndon-Hochschild-Serre spectral sequence as a tool to study the group cohomology and with this the group extensions in the category of definable groups.
Barriga, Eliana
core
When is group cohomology finitary?
If G is a group, then we say that the functor Hn(G,−) is finitary if it commutes with all filtered colimit systems of coefficient modules. We investigate groups with cohomology almost everywhere finitary; that is, groups with nth cohomology functors ...
Martin Hamilton, Hamilton, Martin
core +1 more source
Crystallography, group cohomology, and Lieb–Schultz–Mattis constraints
We compute the mod-2 cohomology ring for three-dimensional (3D) space groups and establish a connection between them and the lattice structure of crystals with space group symmetry.
Chunxiao Liu, Weicheng Ye
doaj +1 more source
The group of endotrivial modules for the symmetric and alternating groups. [PDF]
We complete a classification of the groups of endotrivial modules for the modular group algebras of symmetric groups and alternating groups. We show that, for n ≥ p2, the torsion subgroup of the group of endotrivial modules for the symmetric groups is ...
Mazza, Nadia, Hemmer, Dave, Carlson, Jon
core
Symmetry fractionalization and twist defects
Topological order in two-dimensions can be described in terms of deconfined quasiparticle excitations—anyons—and their braiding statistics. However, it has recently been realized that this data does not completely describe the situation in the presence ...
Nicolas Tarantino +2 more
doaj +1 more source
Symplectic manifolds and cohomological decomposition
Given a closed symplectic manifold, we study when the Lefschetz decomposition induced by the $\mathfrak{sl}(2;\mathbb{R})$-representation yields a decomposition of the de Rham cohomology.
Daniele Angella +3 more
core

