Geometric prequantisation of two-pectic manifolds

Tilmann Wurzbacher (IECL, Metz)

Jan 17. 2025, 15:30 — 16:20

For a manifold M with an integral closed 3-form, we construct a principal PU(H)-bundle and a Lie groupoid over its total space, together with a curving in the sense of Murray. If the form is non degenerate, we furthermore give a natural Lie 2-algebra quasi-isomorphism from the Baez-Rogers observables of M to the weak symmetries of the above geometric structure, generalising the prequantisation map of Kostant and Souriau.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Recordings:
Recording
Associated Event:
Infinite-dimensional Geometry: Theory and Applications (Thematic Programme)
Organizer(s):
Tomasz Goliński (U of Białystok)
Gabriel Larotonda (U of Buenos Aires)
Alice Barbara Tumpach (WPI, Vienna)
Cornelia Vizman (WU of Timisoara)