The Chern classes of the Verlinde bundles

2013/08/20 by Marian, Alina, Oprea, Dragos, Pandharipande, Rahul
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1308.4425

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.

Related

• The Chern character of the Verlinde bundle over the moduli space of stable curves
• Chern Classes of the Moduli Stack of Curves
• Strange Duality of Verlinde spaces for G₂ and F₄
• Universal Chern classes on the moduli of bundles
• The top Chern class of the Hodge bundle on the moduli space of abelian varieties