Results 1 to 10 of about 6,422 (56)
Some extremely amenable groups [PDF]
, 2001 A topological group $G$ is extremely amenable if every continuous action of $G$ on a compact space has a fixed point. Using the concentration of measure techniques developed by Gromov and Milman, we prove that the group of automorphisms of a Lebesgue ...
Giordano, Thierry, Pestov, Vladimir
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Poset topology and homological invariants of algebras arising in algebraic combinatorics [PDF]
, 2013 We present a beautiful interplay between combinatorial topology and homological algebra for a class of monoids that arise naturally in algebraic combinatorics. We explore several applications of this interplay.
Margolis, Stuart +2 more
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Some remarks on topological 4d-gravity [PDF]
, 1997 We show that the method of S. Wu to study topological 4d-gravity can be understood within a now standard method designed to produce equivariant cohomology classes.
Atiyah +17 more
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Some aspects of semi-abelian homology and protoadditive functors
, 2015 In this note some recent developments in the study of homology in semi-abelian categories are briefly presented. In particular the role of protoadditive functors in the study of Hopf formulae for homology is explained.Comment: 7 ...
Everaert, Tomas, Gran, Marino
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Equivariant formality of istropy actions
, 2018 Let $G$ be a compact connected Lie group and $K$ a connected Lie subgroup. In this paper, we collect an assortment of results on equivariant formality of the isotropy action of $K$ on $G/K$ and thus improving those from previous work. We show that if the
Carlson, Jeffrey D., Fok, Chi-Kwong
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Representations of the fundamental group of a surface in PU(p,q) and holomorphic triples
, 2001 We count the connected components in the moduli space of PU(p,q)-representations of the fundamental group for a closed oriented surface. The components are labelled by pairs of integers which arise as topological invariants of the flat bundles associated
Bradlow +19 more
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Categorical notions of fibration
, 2019 Fibrations over a category $B$, introduced to category theory by Grothendieck, encode pseudo-functors $B^{op} \rightsquigarrow {\bf Cat}$, while the special case of discrete fibrations encode presheaves $B^{op} \to {\bf Set}$.
Loregian, Fosco, Riehl, Emily
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On the first continuous $L^2$-cohomology of free group factors
, 2014 We prove that the first continuous $L^2$-cohomology of free group factors vanishes. This answers a question by Andreas Thom regarding continuity properties of free difference quotients and shows that one can not distinguish free group factors by means of
Alekseev, Vadim
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3-manifold invariants and periodicity of homology spheres
, 2001 We show how the periodicity of a homology sphere is reflected in the Reshetikhin-Turaev-Witten invariants of the manifold. These yield a criterion for the periodicity of a homology sphere.Comment: Published by Algebraic and Geometric Topology at http://
Boileau +21 more
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The Development of Intersection Homology Theory
, 2006 This historical introduction is in two parts. The first is reprinted with permission from ``A century of mathematics in America, Part II,'' Hist. Math., 2, Amer. Math. Soc., 1989, pp.543-585. Virtually no change has been made to the original text.
Kleiman, Steven L.
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