94 citations · 212 across the 6 of their papers we have counts for
6 papers
Algebraic structures on graph cohomology
Alberto S. Cattaneo, Paolo Cotta-Ramusino, Riccardo Longoni
We define algebraic structures on graph cohomology and prove that they correspond to algebraic structures on the cohomology of the spaces of imbeddings of S^1 or R into R^n. As a c…
Loop observables for BF theories in any dimension and the cohomology of knots
Alberto S. Cattaneo, Paolo Cotta-Ramusino, Carlo A. Rossi
A generalization of Wilson loop observables for BF theories in any dimension is introduced in the Batalin-Vilkovisky framework. The expectation values of these observables are coho…
Configuration spaces and Vassiliev classes in any dimension
Alberto S. Cattaneo, Paolo Cotta-Ramusino, Riccardo Longoni
The real cohomology of the space of imbeddings of S^1 into R^n, n>3, is studied by using configuration space integrals. Nontrivial classes are explicitly constructed. As a by-produ…
Four-Dimensional Yang-Mills Theory as a Deformation of Topological BF Theory
A. S. Cattaneo, P. Cotta-Ramusino, F. Fucito +4
The classical action for pure Yang--Mills gauge theory can be formulated as a deformation of the topological theory where, beside the two-form field , one has to add one ex…
Topological BF Theories in 3 and 4 Dimensions
Aberto S. Cattaneo, Paolo Cotta-Ramusino, Juerg Froehlich +1
In this paper we discuss topological BF theories in 3 and 4 dimensions. Observables are associated to ordinary knots and links (in 3 dimensions) and to 2-knots (in 4 dimensions). T…
BF Theories and 2-knots
P. Cotta-Ramusino, M. Martellini
We discuss the relations between (topological) quantum field theories in 4 dimensions and the theory of 2-knots (embedded 2-spheres in a 4-manifold). The so-called BF theories allo…