Speaker: Anton Alekseev
Title: Self-intersections of curves and the BV structure on moduli of flat connections
Abstract: Moduli spaces of flat connections over oriented 2-manifolds carry the Atiyah-Bott symplectic structure. This symplectic structure is intimately related to the Goldman Lie bracket defined using intersections of closed curves on a manifold.
Turaev defined a Lie cobracket compatible with the Goldman bracket using self-intersections of curves. In the talk, we will explain how the Goldman bracket and Turaev cobracket are related to a certain Batalin-Vilkovisky (BV) structure on the moduli space of flat connections corresponding to a Lie superalgebra with an odd invariant pairing.
The talk is based on a joint work with F. Naef, J. Pulmann and P. Severa.
The physical location of the seminar will be Auditorium 2. If you would like to attend online and need the Zoom password, contact the organisers.