منابع مشابه
Loop-fusion Cohomology and Transgression
‘Loop-fusion cohomology’ is defined on the continuous loop space of a manifold in terms of Čech cochains satisfying two multiplicative conditions with respect to the fusion and figure-of-eight products on loops. The main result is that these cohomology groups, with coefficients in an abelian group, are isomorphic to those of the manifold and the transgression homomorphism factors through the is...
متن کاملDolbeault Cohomology of a Loop Space
Loop spaces LM of compact complex manifolds M promise to have rich analytic cohomology theories, and it is expected that sheaf and Dolbeault cohomology groups of LM will shed new light on the complex geometry and analysis of M itself. This idea first occurs in [W], in the context of the infinite dimensional Dirac operator, and then in [HBJ] that touches upon Dolbeault groups of loop spaces; but...
متن کاملThe Cohomology Algebra of Certain Loop Spaces
The purpose of this paper1 is to determine the cohomology algebra of a loop space over a topological space whose cohomology algebra is a truncated polynomial algebra generated by an element of even degree. As special cases we obtain the well-known results when the base space has as cohomology algebra an exterior algebra (the base space an even dimensional sphere) or a polynomial algebra (the ba...
متن کاملEquivariant Cohomology of Loop Space and Frobenius Deformations of De Rham Cohomology
We show that the graded Frobenius formal deformations of the de Rham cohomology of a closed simply connected KK ahler manifold are governed by the dual of real-valued cohomology of its free loop space. This is a sequel to 9] in which the author showed that the deformations of the de Rham cohomology of a closed simply connected KK ahler manifold are governed by the dual of the real-valued cohomo...
متن کاملEquivariant Cohomology of Incidence Hilbert Schemes and Loop Algebras
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1990
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1990.102372