Poisson structures on certain moduli spaces for bundles on a surface
نویسندگان
چکیده
منابع مشابه
Informal Complexification and Poisson Structures on Moduli Spaces
We show how the Cauchy (or, more generally, the Leray) residue formula can be understood as an informal complex analog of the Stokes formula. It allows one to treat the Poisson (and symplectic) structures on the moduli spaces of at connections on real manifolds and those structures on the moduli spaces of holomorphic bundles on complex manifolds in a parallel way.
متن کاملOn Some Moduli Spaces of Bundles
We give many examples in which there exist infinitely many divisorial conditions on the moduli space of polarized K3 surfaces (S,H) of degree H = 2g− 2, g ≥ 3, and Picard number ρ(S) = rkN(S) = 2 such that for a general K3 surface S satisfying these conditions the moduli space of sheaves MS(r,H, s) is birationally equivalent to the Hilbert scheme S[g − rs] of zero-dimensional subschemes of S of...
متن کاملModuli Spaces of Vector Bundles over a Klein Surface
A compact topological surface S, possibly non-orientable and with non-empty boundary, always admits a Klein surface structure (an atlas whose transition maps are dianalytic). Its complex cover is, by definition, a compact Riemann surface M endowed with an anti-holomorphic involution which determines topologically the original surface S. In this paper, we compare dianalytic vector bundles over S...
متن کاملUniversal Families on Moduli Spaces of Principal Bundles on Curves
Let H be a connected semisimple linear algebraic group defined over C and X a compact connected Riemann surface of genus at least three. Let M X (H) be the moduli space parametrising all topologically trivial stable principal H-bundles over X whose automorphism group coincides with the centre of H . It is a Zariski open dense subset of the moduli space of stable principal H-bundles. We prove th...
متن کاملExtensions of Vector Bundles and Rationality of Certain Moduli Spaces of Stable Bundles
In this paper, it is proved that certain stable rank-3 vector bundles can be written as extensions of line bundles and stable rank-2 bundles. As an application, we show the rationality of certain moduli spaces of stable rank-3 bundles over the projective plane P 2 .
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 1995
ISSN: 0373-0956
DOI: 10.5802/aif.1448