Graph potentials and Moduli spaces of vector bundles of curves

Abstract: We construct and study graph potentials, a collection of Laurent polynomials associated with colored graphs of small valency. The potentials we construct are related to the moduli spaces of vector bundles of rank two with fixed determinant on algebraic curves. We will discuss relations between these graph potentials and Gromov-Witten invariants of the moduli spaces. This is joint work with P. Belmans and S. Galkin.

algebraic geometrydifferential geometry

Audience: researchers in the topic

CMI seminar series

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