Results 1 to 10 of about 15,408 (135)
Cohomological finiteness conditions for a class of metabelian groups [PDF]
We consider a class of metabelian groups first studied by Baumslag and Stammbach and we show that these groups are consistent with the Bieri-Groves conjecture which relates cohomological finiteness conditions to the Bieri-Neumann-Strebel sigma invariant ...
Baumslag +22 more
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$Q$-Manifolds and Mackenzie Theory [PDF]
Double Lie algebroids were discovered by Kirill Mackenzie from the study of double Lie groupoids and were defined in terms of rather complicated conditions making use of duality theory for Lie algebroids and double vector bundles.
Voronov, Theodore Th.
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K-homological finiteness and hyperbolic groups [PDF]
Motivated by classical facts concerning closed manifolds, we introduce a strong finiteness property in K-homology. We say that a C*-algebra has uniformly summable K-homology if all its K-homology classes can be represented by Fredholm modules which are ...
Emerson, Heath, Nica, Bogdan
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An Axiomatic Setup for Algorithmic Homological Algebra and an Alternative Approach to Localization [PDF]
In this paper we develop an axiomatic setup for algorithmic homological algebra of Abelian categories. This is done by exhibiting all existential quantifiers entering the definition of an Abelian category, which for the sake of computability need to be ...
Auslander M. +11 more
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Modular classes of Q-manifolds: a review and some applications [PDF]
A Q-manifold is a supermanifold equipped with an odd vector field that squares to zero. The notion of the modular class of a Q-manifold -- which is viewed as the obstruction to the existence of a Q-invariant Berezin volume -- is not well know.
Bruce, Andrew James
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C*-Algebras over Topological Spaces: Filtrated K-Theory
We define the filtrated K-theory of a C*-algebra over a finite topological space X and explain how to construct a spectral sequence that computes the bivariant Kasparov theory over X in terms of filtrated K-theory.
Beligiannis +14 more
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Duality and free energy analyticity bounds for few-body Ising models with extensive homology rank [PDF]
We consider pairs of few-body Ising models where each spin enters a bounded number of interaction terms (bonds) such that each model can be obtained from the dual of the other after freezing k spins on large-degree sites.
Dumer, Ilya +3 more
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Supersymmetric Deformations of Maximally Supersymmetric Gauge Theories
We study supersymmetric and super Poincar\'e invariant deformations of ten-dimensional super Yang-Mills theory and of its dimensional reductions.
A Collinucci +40 more
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This is an exposition of recent progress in the categorical approach to D-brane physics. I discuss the physical underpinnings of the appearance of homotopy categories and triangulated categories of D-branes from a string field theoretic perspective, and ...
Aspinwall P. +20 more
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We show how topological methods developed in a previous article can be applied to prove new results about topological and homological finiteness properties of monoids.
Gray, Robert D., Steinberg, Benjamin
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