On real moduli spaces over M-curves

Details On real moduli spaces over M-curves On real moduli spaces over M-curves

2008-07-08

arxiv.org/abs/0807.1307v1

Mathematics

Symplectic Geometry

13 pages, 2 figures

Scientific paper

Let $F$ be a genus $g$ curve and $\sigma: F \to F$ a real structure with the maximal possible number of fixed circles. We study the real moduli space $\N' = \Fix (\sigma^{#})$ where $\sigma^{#}: \N \to \N$ is the induced real structure on the moduli space $\N$ of stable holomorphic bundles of rank 2 over $F$ with fixed non-trivial determinant. In particular, we calculate $H^* (\N',\mathbb Z)$ in the case of $g = 2$, generalizing Thaddeus' approach to computing $H^* (\N,\mathbb Z)$.

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