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Cattaneo, A S (2006). From topological field theory to deformation quantization and reduction. In: Sanz-Solé, M; Soria, J; Varona, J L; Verdera, J. International Congress of Mathematicians. Vol. III. Zürich: European Mathematical Society (EMS), 339-365.
This note describes the functional-integral quantization of two-dimensional topological field theories together with applications to problems in deformation quantization of Poisson manifolds and reduction of certain submanifolds. A brief introduction to smooth graded manifolds and to the Batalin–Vilkovisky formalism is included.
| Other titles: | Invited lectures. Proceedings of the congress held in Madrid, August 22--30, 2006 |
|---|---|
| Item Type: | Book Section, refereed, original work |
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Uncontrolled Keywords: | Topological quantum field theory, BV formalism, graded manifolds, deformation , , quantization, formality, Poisson reduction, L∞- and A∞-algebras. |
| Language: | English |
| Date: | 2006 |
| Deposited On: | 07 Jan 2010 15:18 |
| Last Modified: | 07 Jul 2024 03:42 |
| Publisher: | European Mathematical Society (EMS) |
| ISBN: | 978-3-03719-022-7 |
| OA Status: | Green |
| Official URL: | http://www.icm2006.org/proceedings/vol3.html |
Cattaneo, A S