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arXiv · 1609.00774

Equivariant formality of transversely symplectic foliations and Frobenius manifolds

Yi Lin·Xiangdong Yang
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Abstract

Consider the Hamiltonian action of a compact connected Lie group on a transversely symplectic foliation which satisfies the transverse hard Lefschetz property. We establish an equivariant formality theorem and an equivariant symplectic $d\delta$-lemma in this setting. As an application, we show that if the foliation is also Riemannian, then there exists a natural formal Frobenius manifold structure on the equivariant basic cohomology of the foliation.

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Yi Lin, Xiangdong Yang. 2016-09-03. Equivariant formality of transversely symplectic foliations and Frobenius manifolds. https://doi.org/10.2140/pjm.2019.298.59

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