Three Natural Generalizations of Fedosov Quantization
Fedosov's simple geometrical construction for deformation quantization of symplectic manifolds is generalized in three ways without introducing new variables: (1) The base manifold is allowed to be a supermanifold. (2) The star product does not have to be of Weyl/symmetric or Wick/normal type....
Gespeichert in:
| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2009 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2009
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149170 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Three Natural Generalizations of Fedosov Quantization / K. Bering // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 46 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862542320969187328 |
|---|---|
| author | Bering, K. |
| author_facet | Bering, K. |
| citation_txt | Three Natural Generalizations of Fedosov Quantization / K. Bering // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 46 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Fedosov's simple geometrical construction for deformation quantization of symplectic manifolds is generalized in three ways without introducing new variables: (1) The base manifold is allowed to be a supermanifold. (2) The star product does not have to be of Weyl/symmetric or Wick/normal type. (3) The initial geometric structures are allowed to depend on Planck's constant.
|
| first_indexed | 2025-11-24T18:45:32Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149170 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-24T18:45:32Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Bering, K. 2019-02-19T18:00:11Z 2019-02-19T18:00:11Z 2009 Three Natural Generalizations of Fedosov Quantization / K. Bering // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 46 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 53D05; 53D55; 58A15; 58A50; 58C50; 58Z05 https://nasplib.isofts.kiev.ua/handle/123456789/149170 Fedosov's simple geometrical construction for deformation quantization of symplectic manifolds is generalized in three ways without introducing new variables: (1) The base manifold is allowed to be a supermanifold. (2) The star product does not have to be of Weyl/symmetric or Wick/normal type. (3) The initial geometric structures are allowed to depend on Planck's constant. This paper is a contribution to the Special Issue on Deformation Quantization. The author thanks I.A. Batalin, D. Sternheimer and the three referees for comments. The work of K.B. is supported by the Ministry of Education of the Czech Republic under the project MSM 0021622409. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Three Natural Generalizations of Fedosov Quantization Article published earlier |
| spellingShingle | Three Natural Generalizations of Fedosov Quantization Bering, K. |
| title | Three Natural Generalizations of Fedosov Quantization |
| title_full | Three Natural Generalizations of Fedosov Quantization |
| title_fullStr | Three Natural Generalizations of Fedosov Quantization |
| title_full_unstemmed | Three Natural Generalizations of Fedosov Quantization |
| title_short | Three Natural Generalizations of Fedosov Quantization |
| title_sort | three natural generalizations of fedosov quantization |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149170 |
| work_keys_str_mv | AT beringk threenaturalgeneralizationsoffedosovquantization |