The Chern classes of the Verlinde bundles
Algebraic Geometry
2016-10-04 v2
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.
Keywords
Cite
@article{arxiv.1308.4425,
title = {The Chern classes of the Verlinde bundles},
author = {Alina Marian and Dragos Oprea and Rahul Pandharipande},
journal= {arXiv preprint arXiv:1308.4425},
year = {2016}
}