Document Type
Preprint
Publication Date
9-3-2016
Publication Title
arXiv Repository
Abstract
Consider the Hamiltonian action of a compact connected Lie group on a transversely symplectic foliation whose basic cohomology satisfies the Hard Lefschetz property. We establish an equivariant formality theorem and an equivariant symplectic dδ-lemma in this setting. As an application, we show that there exists a natural Frobenius manifold structure on the equivariant basic cohomology of the given foliation. In particular, this result provides a class of new examples of dGBV-algebras whose cohomology carries a Frobenius manifold structure.
Recommended Citation
Lin, Yi, Xiangdong Yang.
2016.
"Equivariant Formality of Transversely Symplectic Foliations and Frobenius Manifolds."
arXiv Repository: 1-26.
source: https://arxiv.org/abs/1609.00774
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/596
Comments
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