Singularities and Poisson geometry of certain representation spaces

2000/12/19 by Johannes Huebschmann
Mathematics · #math.DG #math.AG #msc:14L24 #msc:14L30 #msc:17B63 #msc:17B65 #msc:17B66 #msc:17B81 #msc:32C20 #msc:32Q15 #msc:32S05 #msc:32S60 #msc:53D17 #msc:53D20 #msc:53D30 #msc:53D50 #msc:81S10

paper · pdf

published as pp.119-135 of: Quantization of singular symplectic quotients, Progress in Mathematics, Vol. 198, 2001, Birkhaeuser Verlag · AMSTeX 2.1, 16 pages

arxiv created 2000/12/19 · arxiv updated 2009/11/30

Abstract

Playing off against each other the real and complex structures, we elucidate the local structure of certain representation spaces in the world of Poisson geometry. Particular cases of these spaces arise as moduli spaces of semistable holomorphic vector bundles on Riemann surfaces.

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