Moduli spaces of anti-invariant vector bundles and twisted conformal blocks

TL;DR

This paper establishes a canonical isomorphism between spaces of generalized theta functions on moduli spaces of anti-invariant vector bundles and conformal blocks related to twisted Kac-Moody algebras, advancing understanding in algebraic geometry and representation theory.

Contribution

It provides a new canonical identification linking moduli spaces of anti-invariant vector bundles with twisted conformal blocks, extending previous theories.

Findings

Canonical isomorphism between theta functions and conformal blocks

Extension of known correspondences to ramified cases

Bridging algebraic geometry with twisted affine Lie algebra representations

Abstract

We prove a canonical identifications of the spaces of generalized theta functions on the moduli spaces of anti-invariant vector bundles in the ramified case and the conformal blocks associated to twisted Kac-Moody affine algebras.