Obstructions for twist star products
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 r-matrix. Examples include the higher genus symplectic Pretzel surfaces and the symplectic sphere S^2.
- Publication:
-
Letters in Mathematical Physics
- Pub Date:
- May 2018
- DOI:
- 10.1007/s11005-017-1034-z
- arXiv:
- arXiv:1607.06926
- Bibcode:
- 2018LMaPh.108.1341B
- Keywords:
-
- Mathematics - Quantum Algebra;
- Mathematical Physics;
- Mathematics - Symplectic Geometry
- E-Print:
- 8 pages, comments are welcome