Results 1 to 10 of about 15,563 (70)
Homological stability for spaces of commuting elements in Lie groups [PDF]
, 2020 In this paper we study homological stability for spaces ${\rm Hom}(\mathbb{Z}^n,G)$ of pairwise commuting $n$-tuples in a Lie group $G$. We prove that for each $n\geqslant 1$, these spaces satisfy rational homological stability as $G$ ranges through any ...
Ramras, Daniel A., Stafa, Mentor
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, 2019 We find and propose an explanation for a large variety of modularity-related symmetries in problems of 3-manifold topology and physics of 3d $\mathcal{N}=2$ theories where such structures a priori are not manifest.
Cheng, Miranda C. N. +4 more
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Cohomological finiteness conditions for a class of metabelian groups [PDF]
, 2016 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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Nilpotent normal form for divergence-free vector fields and volume-preserving maps [PDF]
, 2007 We study the normal forms for incompressible flows and maps in the neighborhood of an equilibrium or fixed point with a triple eigenvalue. We prove that when a divergence free vector field in $\mathbb{R}^3$ has nilpotent linearization with maximal Jordan
Baier +34 more
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Homological approach to the Hernandez-Leclerc construction and quiver varieties [PDF]
, 2013 In a previous paper the authors have attached to each Dynkin quiver an associative algebra. The definition is categorical and the algebra is used to construct desingularizations of arbitrary quiver Grassmannians.
Feigin, Evgeny +2 more
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Fault-tolerant gates via homological product codes [PDF]
, 2019 A method for the implementation of a universal set of fault-tolerant logical gates is presented using homological product codes. In particular, it is shown that one can fault-tolerantly map between different encoded representations of a given logical ...
Jochym-O'Connor, Tomas
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Modular classes of Q-manifolds: a review and some applications [PDF]
, 2017 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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An Axiomatic Setup for Algorithmic Homological Algebra and an Alternative Approach to Localization [PDF]
, 2011 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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Characteristic classes of gauge systems
, 2004 We define and study invariants which can be uniformly constructed for any gauge system. By a gauge system we understand an (anti-)Poisson supermanifold provided with an odd Hamiltonian self-commuting vector field called a homological vector field.
A.A. Sharapov +41 more
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Twisted homological stability for extensions and automorphism groups of free nilpotent groups
, 2014 We prove twisted homological stability with polynomial coefficients for automorphism groups of free nilpotent groups of any given class. These groups interpolate between two extremes for which homological stability was known before, the general linear ...
Szymik, Markus
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