Star Products with Separation of Variables Admitting a Smooth Extension
Abstract
Given a complex manifold M with an open dense subset Ω endowed with a pseudo-Kähler form ω which cannot be smoothly extended to a larger open subset, we consider various examples where the corresponding Kähler-Poisson structure and a star product with separation of variables on (Ω, ω) admit smooth extensions to M. We give a simple criterion of the existence of a smooth extension of a star product and apply it to these examples.
- Publication:
-
Letters in Mathematical Physics
- Pub Date:
- August 2012
- DOI:
- 10.1007/s11005-012-0561-x
- Bibcode:
- 2012LMaPh.101..125K