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.
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.
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.
| 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: | 20 Feb 2018 07:44 |
| Publisher: | American Mathematical Society |
| Series Name: | Contemporary Mathematics |
| Number: | 233 |
| ISBN: | 0-8218-0884-2 |
| OA Status: | Green |
| Official URL: | http://www.ams.org/bookstore?fn=20&arg1=conmseries&ikey=CONM-233 |
Cattaneo, A S