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arXiv · 2207.01675

Euler characteristics of tautological bundles over Quot schemes of curves

Dragos Oprea·Shubham Sinha
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Abstract

We compute the Euler characteristics of tautological vector bundles and their exterior powers over the Quot schemes of curves. We give closed-form expressions over punctual Quot schemes in all genera. For higher rank quotients of a trivial vector bundle, we obtain answers in genus zero. We also study the Euler characteristics of the symmetric powers of the tautological bundles, for rank zero quotients.

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Dragos Oprea, Shubham Sinha. 2022-07-04. Euler characteristics of tautological bundles over Quot schemes of curves. https://arxiv.org/abs/2207.01675

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