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arXiv · 1308.4425

The Chern classes of the Verlinde bundles

Alina Marian·Dragos Oprea·Rahul Pandharipande
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Abstract

A formula for the first Chern class of the Verlinde bundle over the moduli space of smooth genus g curves is given. A finite-dimensional argument is presented in rank 2 using geometric symmetries obtained from strange duality, relative Serre duality, and Wirtinger duality together with the projective flatness of the Hitchin connection. A derivation using conformal-block methods is presented in higher rank. An expression for the first Chern class over the compact moduli space of curves is obtained.

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Alina Marian, Dragos Oprea, Rahul Pandharipande. 2013-08-20. The Chern classes of the Verlinde bundles. https://arxiv.org/abs/1308.4425

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