TOPOLOGICAL BF THEORIES IN 3 AND 4 DIMENSIONS

Authors
CATTANEO AS COTTARAMUSINO P FROHLICH J MARTELLINI M
Citation
As. Cattaneo et al., TOPOLOGICAL BF THEORIES IN 3 AND 4 DIMENSIONS, Journal of mathematical physics, 36(11), 1995, pp. 6137-6160
Citations number
33
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
36
Issue
11
Year of publication
1995
Pages
6137 - 6160
Database
ISI
SICI code
0022-2488(1995)36:11<6137:TBTI3A>2.0.ZU;2-P
Abstract
In this paper we discuss topological BF theories in 3 and 4 dimensions . Observables are associated to ordinary knots and links (in 3 dimensi ons) and to 2-knots (in 4 dimensions). The vacuum expectation values o f such observables give a wide range of invariants. Here we consider m ainly the 3 dimensional case, where these invariants include Alexander polynomials, HOMFLY polynomials and Kontsevich integrals. (C) 1995 Am erican Institute of Physics.