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On the intersection theory of Quot schemes and moduli of bundles with sections
Published/Copyright:
December 7, 2007
Abstract
We consider a class of tautological top intersection products on the moduli space of stable pairs consisting of vector bundles together with N sections on a smooth complex projective curve C. We show that when N is large, these intersection numbers can equally be computed on the Grothendieck Quot scheme of coherent sheaf quotients of the rank N trivial sheaf on C. The result has applications to the calculation of the intersection theory of the moduli space of semistable bundles on C.
Received: 2006-01-19
Revised: 2006-04-20
Published Online: 2007-12-07
Published in Print: 2007-09-26
© Walter de Gruyter
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- On the intersection theory of Quot schemes and moduli of bundles with sections
- Convergence of quantum cohomology by quantum Lefschetz
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Articles in the same Issue
- PBW-deformation theory and regular central extensions
- On the intersection theory of Quot schemes and moduli of bundles with sections
- Convergence of quantum cohomology by quantum Lefschetz
- Bivariant algebraic K-theory
- Sommes de Dedekind associées à un corps de nombres totalement réel
- First steps towards p-adic Langlands functoriality
- On the cohomology and the Chow ring of the classifying space of PGLp
- Appendix. Chern classes are not enough
