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On the intersection theory of Quot schemes and moduli of bundles with sections

Alina Marian
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Abstract

We consider a class of tautological top intersection products on the moduli space of stable pairs consisting of semistable 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.

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Alina Marian. 2006-04-20. On the intersection theory of Quot schemes and moduli of bundles with sections. https://arxiv.org/abs/math/0601275

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