Journal of Symplectic Geometry

Volume 18 (2020)

Number 4

A homotopical viewpoint at the Poisson bracket invariants for tuples of sets

Pages: 995 – 1026

DOI: https://dx.doi.org/10.4310/JSG.2020.v18.n4.a2

Author

Yaniv Ganor (School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel)

Abstract

We suggest a homotopical description of the Poisson bracket invariants for tuples of closed sets in symplectic manifolds. It implies that these invariants depend only on the union of the sets along with topological data.

Partially supported by European Research Council Advanced grant 338809.

Received 8 August 2018

Accepted 14 May 2019

Published 28 October 2020