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The Many Facets of GeometryA Tribute to Nigel Hitchin$
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Oscar Garcia-Prada, Jean Pierre Bourguignon, and Simon Salamon

Print publication date: 2010

Print ISBN-13: 9780199534920

Published to Oxford Scholarship Online: September 2010

DOI: 10.1093/acprof:oso/9780199534920.001.0001

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Toeplitz Operators and Hitchin's Projectively Flat Connection

Toeplitz Operators and Hitchin's Projectively Flat Connection

Chapter:
(p.177) X Toeplitz Operators and Hitchin's Projectively Flat Connection
Source:
The Many Facets of Geometry
Author(s):

Jørgen Ellegaard Andersen

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199534920.003.0010

This chapter reviews some of the results that have been established regarding representations of the mapping class group and the curve operators. It discusses the geometric construction of these theories. It considers applications to topological quantum field theory (TQFT) of the general program of combining the theory of Toeplitz operators with the Hitchin connection.

Keywords:   Nigel Hitchin, Toeplitz operators, topological quantum field theory, curve operators

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