Moduli spaces of flat connections as quasi-BV manifolds

Jan Pulmann (U Genève)

Aug 26. 2020, 15:30 — 16:30

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.  

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Higher Structures and Field Theory - partially postponed (Thematic Programme)
Anton Alekseev (U Genève)
Stefan Fredenhagen (U of Vienna)
Nicolai Reshetikhin (UC, Berkeley)
Thomas Strobl (U Lyon)
Chenchang Zhu (U Göttingen)