Formal Frobenius manifold structure on equivariant cohomology

1999/03/02 by Huai-Dong Cao, Jian Zhou, Cao, Huai-Dong +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology #math.DG

paper · pdf · doi:10.48550/arxiv.math/9903024

AMS-LaTex, 14 pages

arxiv created 1999/03/02 · arxiv updated 2009/11/30

Abstract

For a closed Kähler manifold with a Hamiltonian action of a connected compact Lie group by holomorphic isometries, we construct a formal Frobenius manifold structure on the equivariant cohomology by exploiting a natural DGBV algebra structure on the Cartan model.

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• Homological perturbation theory and mirror symmetry

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