Obstructions for Twist Star Products
Quantum Algebra
2018-04-20 v1 Mathematical Physics
math.MP
Symplectic Geometry
Abstract
In this short note we point out that not every star product is induced by a Drinfel'd twist by showing that not every Poisson structure is induced by a classical -matrix. Examples include the higher genus symplectic Pretzel surfaces and the symplectic sphere .
Cite
@article{arxiv.1607.06926,
title = {Obstructions for Twist Star Products},
author = {Pierre Bieliavsky and Chiara Esposito and Stefan Waldmann and Thomas Weber},
journal= {arXiv preprint arXiv:1607.06926},
year = {2018}
}
Comments
8 pages, comments are welcome