Quantum Mathematics: Jan Pulmann (Edinburgh)

Physics B13
Wednesday 26th October 2022 (14:00-15:00)

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


School of Mathematical Sciences

The University of Nottingham
University Park
Nottingham, NG7 2RD

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