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Ring structure of the Floer Cohomology of $Σ\times S^1$

Vicente Muñoz
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Abstract

We give a presentation for the Floer cohomology ring $HF^*(Σ\times S^1)$, where $Σ$ is a Riemann surface of genus bigger than one, which coincides with the conjectural presentation for the quantum cohomology ring of the moduli space of flat SO(3)-connections of odd degree over $Σ$. We study the spectrum of the action of the homology of $Σ$ on the Floer cohomology and prove a physical assumption made by Vafa et al.

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BibTeXRIS

Vicente Muñoz. 1997-10-27. Ring structure of the Floer Cohomology of $Σ\times S^1$. https://arxiv.org/abs/dg-ga/9710029

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