Cohomology of a moduli space of vector bundles
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TextPublication details: 1989Description: vi; 65pSubject(s): Mathematics | Cohomology | Moduli Space | Vector BundlesOnline resources: Click here to access online Dissertation note: 1989Ph.DUniversity of Madras 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.
THESIS & DISSERTATION
| Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | UNM Th-35 (Browse shelf (Opens below)) | Link to resource | Available | 56707 |
1989
Ph.D
University of Madras
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.
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