Robert Laugwitz (organizer)
Quantum Maths Seminar, external speaker.
Speaker: Jan Pulmann (University of Edinburgh)
Title: Moduli spaces of flat connections, BV formalism and Goldman-Turaev Lie bialgebra
Abstract: The moduli space of flat connections on a surface has a natural (quasi-) Poisson bracket, due to Atiyah-Bott and Goldman. In this joint work with Anton Alekseev, Florian Naef and Pavol Severa, we show that the odd analogue of this Poisson bracket comes from a (quasi) Batalin-Vilkovisky operator on the moduli space. Moreover, when the Lie superalgebra in question is the queer Lie superalgebra, this BV structure contains the BV structure coming from the Goldman-Turaev Lie bialgebra, giving an interpretation of the Turaev cobracket in terms of flat connections.
One-hour in-person talk
The University of NottinghamUniversity Park Nottingham, NG7 2RD
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