417 citations · 2.4k across the 99 of their papers we have counts for
Showing 1999Show all
3 papers · 1 filter
math.GT1999
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.…
math.GT1999★ 51 cited
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…
math.QA1999★ 417 cited
A path integral approach to the Kontsevich quantization formula
Alberto S. Cattaneo, Giovanni Felder
We give a quantum field theory interpretation of Kontsevich's deformation quantization formula for Poisson manifolds. We show that it is given by the perturbative expansion of the…