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From topological field theory to deformation quantization and reduction


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.

Abstract

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.

Abstract

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.

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Additional indexing

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:21 Jun 2020 12:16
Publisher:European Mathematical Society (EMS)
ISBN:978-3-03719-022-7
OA Status:Green
Official URL:http://www.icm2006.org/proceedings/vol3.html

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