Loop observables for BF theories in any dimension and the cohomology of knots

A S Cattaneo, P Cotta-Ramusino, C Rossi
2000
A generalization of Wilson loop observables for BF theories in any dimension is introduced within the Batalin-Vilkovisky framework. The expectation values of these observables are cohomology classes of the space of imbeddings of a circle. One of the resulting theories discussed in the Letter has only trivalent interactions and, irrespective of the actual dimension, looks like a three-dimensional Chern-Simons theory. arXiv:math/0003073v1 [math.QA] ABSTRACT. A generalization of Wilson loop
more » ... Wilson loop observables for BF theories in any dimension is introduced in the Batalin-Vilkovisky framework. The expectation values of these observables are cohomology classes of the space of imbeddings of a circle. One of the resulting theories discussed in the paper has only trivalent interactions and, irrespective of the actual dimension, looks like a 3-dimensional Chern-Simons theory.
doi:10.5167/uzh-22076 fatcat:exq6g7etprhntow7wykhp3laby