On real moduli spaces over M-curves

dc.creatorSaveliev, Nikolai
dc.creatorWang, Shuguang
dc.date2008-07-08
dc.date.accessioned2026-07-07T09:49:08Z
dc.date.available2026-07-07T09:49:08Z
dc.descriptionLet $F$ be a genus $g$ curve and $σ: F \to F$ a real structure with the maximal possible number of fixed circles. We study the real moduli space $\N' = \Fix (σ^{#})$ where $σ^{#}: \N \to \N$ 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 $H^* (\N,\mathbb Z)$.
dc.description13 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0807.1307
dc.identifierhttp://arxiv.org/abs/0807.1307
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164470
dc.subjectSymplectic Geometry
dc.subjectAlgebraic Geometry
dc.subject32G13, 14H60, 53D30
dc.titleOn real moduli spaces over M-curves
dc.typetext

Files

Collections