Mathematics – Differential Geometry
Scientific paper
1997-10-27
Mathematics
Differential Geometry
13 pages, Latex2e
Scientific paper
We give a presentation for the Floer cohomology ring $HF^*(\Sigma \times S^1)$, where $\Sigma$ 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 $\Sigma$. We study the spectrum of the action of the homology of $\Sigma$ on the Floer cohomology and prove a physical assumption made by Vafa et al.
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