On real moduli spaces over M-curves

2008/07/08 by Nikolai Saveliev, Shuguang Wang, Saveliev, Nikolai +1
Mathematics · #14H60 #32G13 #53D30 #Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.AG #math.SG #msc:14H60 #msc:32G13 #msc:53D30

paper · pdf · doi:10.48550/arxiv.0807.1307

13 pages, 2 figures

arxiv created 2008/07/08 · arxiv updated 2009/12/01

Abstract

Let F be a genus g curve and σ: F → F a real structure with the maximal possible number of fixed circles. We study the real moduli space \N' = \Fix (σ^#) where σ^#: \N → \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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