000 01351nam a2200253Ia 4500
008 160627s1989||||xx |||||||||||||| ||und||
080 _aUNM Th-35
100 _aBalaji, V.
_eauthor
245 _aCohomology of a moduli space of vector bundles
260 _c1989
300 _avi; 65p.
502 _a1989
502 _bPh.D
502 _cUniversity of Madras
520 3 _aThis 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.
650 1 4 _aMathematics
653 1 0 _aCohomology
653 1 0 _aModuli Space
653 1 0 _aVector Bundles
720 1 _aSeshadri, C.S.
_eThesis advisor [ths]
856 _uhttp://www.imsc.res.in/xmlui/handle/123456789/58
942 _2THESIS27
_cTHESIS
999 _c48732
_d48732