8 citations · 8 across the 1 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…
On the AKSZ formulation of the Poisson sigma model
Alberto S. Cattaneo, Giovanni Felder
We review and extend the Alexandrov-Kontsevich-Schwarz-Zaboronsky construction of solutions of the Batalin-Vilkovisky classical master equation. In particular, we study the case of…
On a Vanishing Theorem of Kontsevich
Alberto S. Cattaneo, Giovanni Felder
This paper has been withdrawn by the authors, due a crucial mistake in Lemma 2
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 space integrals and invariants for 3-manifolds and knots
Alberto S. Cattaneo
The first part of this paper is a short review of the construction [dg-ga/9710001] of invariants of rational homology 3-spheres and knots in terms of configuration space integrals.…
Integral Invariants of 3-Manifolds
R. Bott, A. S. Cattaneo
This note describes an invariant of rational homology 3-spheres in terms of configuration space integrals which in some sense lies between the invariants of Axelrod and Singer and…