nLab Alberto Cattaneo

Selected writings

On 3-manifolds:

On deformation quantization:

  • Alberto Cattaneo, From topological field theory to deformation quantization and reduction, ICM 2006. (pdf)

On higher order Vassiliev invariants as Chern-Simons theory-correlators, hence as configuration space-integrals of wedge products of Chern-Simons propagators assigned to edges of Feynman diagrams in the graph complex:

  • Alberto Cattaneo, Paolo Cotta-Ramusino, Riccardo Longoni, Configuration spaces and Vassiliev classes in any dimension, Algebr. Geom. Topol. 2 (2002) 949-1000 (arXiv:math/9910139)

  • Alberto Cattaneo, Paolo Cotta-Ramusino, Riccardo Longoni, Algebraic structures on graph cohomology, Journal of Knot Theory and Its Ramifications, Vol. 14, No. 5 (2005) 627-640 (arXiv:math/0307218)

On the Poisson sigma-model:

On BV-BRST formalism compatible with decomposing spacetime into pieces (BV-BFV formalism):

On the local formulation (allowing decomposition and re-gluing of spacetime) of the phase space of Einstein gravity in first-order formulation via BV-BFV formalism:

and for flux observables:

and relation to BF-theory:

On the relativistic particle, and related systems, in BV-BRST formalism:

category: people

Last revised on April 16, 2024 at 07:51:58. See the history of this page for a list of all contributions to it.