Deligne-Beilinson cohomology in U(1) Chern-Simons and BF theories: an example of the Atiyah-Segal program
par
Frank Thuillier(LAPTh)
→
Europe/Paris
Fokko du Cloux (Institut Camille Jordan)
Fokko du Cloux
Institut Camille Jordan
Université Lyon 1,
Bât. Braconnier,
21 av. Claude Bernard,
69100 Villeurbanne
Description
Deligne-Beilinson cohomology is a particularly efficient tool for the study of U(1) Chern-Simons and BF theories in the functional integration context of Quantum Field Theory. Its use yields Reshethikin-Turaev and Turaev-Viro invariants. In the BF case, a new set of surgery type formulas can be exhibited which are also related with an abelian version of Turaev-Virelizier theorem. Eventually, this cohomological approach to these topological theories provide an example of Atiyah-Segal program.