On higher Chern classes of vector bundles of conformal blocks

TL;DR

This paper derives explicit formulas for higher Chern classes of conformal blocks vector bundles on moduli spaces of curves, extending known results for first Chern classes and exploring their geometric implications.

Contribution

It provides explicit formulas for higher Chern classes of conformal blocks bundles and demonstrates their role in forming a subcone of the Pliant cone on 6bar{M}_{0,n}.

Findings

Explicit formulas for higher Chern classes derived.

Extended results from first Chern classes to higher classes.

Constructed a full-dimensional subcone of the Pliant cone.

Abstract

Here we consider higher Chern classes of vector bundles of conformal blocks on $\overline{\operatorname{M}}_{0,n}$, giving explicit formulas for them, and extending various results that hold for first Chern classes to them. We use these classes to form a full dimensional subcone of the Pliant cone on $\overline{\operatorname{M}}_{0,n}$.