The equivariant pair-of-pants product in fixed point Floer cohomology
نویسندگان
چکیده
منابع مشابه
Fixed-Point Theorem, and Cohomology
1. INTRODUCTION. The proof of the Brouwer fixed-point Theorem based on Sperner's Lemma [S] is often presented as an elementary combi-natorial alternative to advanced proofs based on algebraic topology. See, for example, Section 6.3 of [P1]. One may ask if this proof is really based on ideas completely different from the ideas of algebraic topology (and, in particular, the ideas of Brouwer's own...
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be found in all classical books on the subject (for example in [4, 44]). For every x ∈ X the isotropy subgroup (also termed fixer or stabilizer) of x is Gx = {g ∈ G : gx = x}. If H ⊂ G is a subgroup of G, then the space fixed by H in X is X = {x ∈ X : Hx = x} = {x ∈ X : H ⊂ Gx}. If X and Y are G-spaces, then a G-map (i.e. an equivariant map) f : X → Y is a map which commutes with the G-action: ...
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We analyze S equivariant cohomology from the supergeometrical point of view. For this purpose we equip the external algebra of given manifold with equivariant even super(pre)symplectic structure, and show, that its Poincare-Cartan invariant defines equivariant Euler classes of surfaces. This allows to derive localization formulae by use of superanalog of Stockes theorem.
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ژورنال
عنوان ژورنال: Geometric and Functional Analysis
سال: 2015
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s00039-015-0331-x