Conformal blocks and the cohomology of configuration spaces of curves

Publication date: 6 December 2021

Abstract: We realize any space of conformal blocks attached to a punctured curve inside the cohomology of a configuration space of that curve and compare the WZW connection with the Gauss-Manin connection.

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Relationships between algebraic curves and physics (14H81)

This page was built for publication: Conformal blocks and the cohomology of configuration spaces of curves