Cohomology of a moduli space of vector bundles

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Cohomology of a moduli space of vector bundles

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Title: Cohomology of a moduli space of vector bundles
Author: Balaji, V.
Advisor: Seshadri, C.S.
Degree: Ph.D
Main Subjects: Mathematics
Institution: University of Madras
Year: 1989
Pages: vi; 65p.
Abstract: This thesis is concerned with a study of the cohomological properties of certain moduli spaces of vector bundles over a compact Riemann Surface. This research was funded by the National Board for Higher Mathematics. Nitsure's theorem with a considerably shorter proof, using the variety N - the canonical natural moduli functor. Tom-Gysin sequence is examined by determining the Strata and their normal bundles. Exploitation of some principles to the full, derived to give a complete description of the strata of N and to compute about 2/3rd' s of the Betti numbers of N. The computations are applied with the use of studies on third intermediate Jacobian of N.
URI: http://hdl.handle.net/123456789/58

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