Generators of the cohomology ring, after Newstead

Abstract

Newstead gave the generators of the cohomology ring of the moduli space of rank 2 semi-stable, torsion-free sheaves with fixed odd degree determinant over a smooth, projective curve. In this article, we generalize this result to the case when the underlying curve is irreducible, nodal. We show that these generators (of the cohomology ring in the nodal curve case) arise naturally as degeneration of Newstead's generators in the smooth curve case.

Published in Proceedings of AMS

References in corpus (5)

• Mirror symmetry, Langlands duality, and the Hitchin system
• Moduli spaces of SL(r)-bundles on singular irreducible curves
• Existence of semistable vector bundles with fixed determinants
• Generalization of a conjecture of Mumford
• Néron models of intermediate Jacobians associated to moduli spaces

Cited by in corpus (1)

• Generalization of a conjecture of Mumford