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Configuration space integrals and invariants for 3-manifolds and knots


Cattaneo, A S (1999). Configuration space integrals and invariants for 3-manifolds and knots. In: Nencka, H. Low-dimensional topology (Funchal, 1998). Providence, RI: American Mathematical Society, 153-165.

Abstract

The first part of this paper is a short review of the construction of invariants of rational homology 3-spheres and knots in terms of configuration space integrals.
The second part describes the relationship between the above construction and Kontsevich's proposal of removing one point from the rational homology sphere. Explicit formulae are computed. In the case of the "Theta" invariant, a comparison with Taubes's construction is briefly discussed.

Abstract

The first part of this paper is a short review of the construction of invariants of rational homology 3-spheres and knots in terms of configuration space integrals.
The second part describes the relationship between the above construction and Kontsevich's proposal of removing one point from the rational homology sphere. Explicit formulae are computed. In the case of the "Theta" invariant, a comparison with Taubes's construction is briefly discussed.

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Additional indexing

Other titles:Proceedings of the conference held at the University of Madeira, Funchal, January 12--17, 1998
Item Type:Book Section, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:1999
Deposited On:27 Jan 2010 12:05
Last Modified:06 Dec 2017 20:55
Publisher:American Mathematical Society
Series Name:Contemporary Mathematics
Number:233
ISBN:0-8218-0884-2
Official URL:http://www.ams.org/bookstore?fn=20&arg1=conmseries&ikey=CONM-233

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