Reference : Quantum moment map and obstructions to the existence of closed Fedosov star products
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/45389
Quantum moment map and obstructions to the existence of closed Fedosov star products
English
Futaki, Akito mailto [Tsinghua University > Yau Mathematical Science Center > > Professor]
La Fuente-Gravy, Laurent mailto [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH) >]
May-2021
Journal of Geometry and Physics
Elsevier
163
Yes (verified by ORBilu)
International
0393-0440
Amsterdam
Netherlands
[en] It is shown that the normalized trace of Fedosov star product for quantum moment map depends only on the path component in the cohomology class of the symplectic form and the cohomology class of the closed formal 2-form required to define Fedosov connections (Theorem 1.3). As an application we obtain a family of obstructions to the existence of closed Fedosov star products naturally attached to symplectic manifolds (Theorem 1.5) and Kähler manifolds (Theorem 1.6). These obstructions are integral invariants depending only on the path component of the cohomology class of the symplectic form. Restricted to compact Kähler manifolds we re-discover an obstruction found earlier in La Fuente-Gravy (2019).
Researchers
http://hdl.handle.net/10993/45389

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Limited access
trace_variation_final_r.pdfAuthor preprint414.95 kBRequest a copy

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.