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- W2964907750 abstract "The moduli space of rank<inline-formula content-type=math/mathml><mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=2><mml:semantics><mml:mn>2</mml:mn><mml:annotation encoding=application/x-tex>2</mml:annotation></mml:semantics></mml:math></inline-formula>stable, locally-free sheaves with fixed odd degree determinant over a smooth, projective curve is a classical object. In the early 1970s, Newstead gave the generators of the cohomology ring of this moduli space. There are generalizations of this result to higher rank, but nothing is known for the case when the underlying curve is singular. In this article, we generalize Newstead’s result to the case when the underlying curve is irreducible, nodal. We show that the generators of the cohomology ring in the nodal curve case arise naturally as degeneration of Newstead’s generators in the smooth curve case." @default.
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- W2964907750 date "2022-03-16" @default.
- W2964907750 modified "2023-10-14" @default.
- W2964907750 title "Generators of the cohomology ring, after Newstead" @default.
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- W2964907750 doi "https://doi.org/10.1090/proc/15888" @default.
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