Formal Frobenius manifold structure on equivariant cohomology

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.

arXiv commentAMS-LaTex, 14 pages

References in corpus (1)

• Frobenius Manifolds and Formality of Lie Algebras of Polyvector Fields

Cited by in corpus (2)

• Equivariant formality of transversely symplectic foliations and Frobenius manifolds
• Homological perturbation theory and mirror symmetry