Results 111 to 120 of about 6,349 (237)

The Configuration Space of Two Particles Moving on a Graph [PDF]

open access: yes, 2010
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

open access: yes, 1995
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

A construction of semi-infinite de Rham cohomology [PDF]

open access: yes
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]

open access: yes, 2013
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?

open access: yes, 2011
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

open access: yesSciPost Physics
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]

open access: yes, 2010
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

open access: yesNew Journal of Physics, 2016
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

open access: yes, 2012
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  

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