Deligne-Beilinson cohomology and abelian link invariants: torsion case

Abstract

For the abelian Chern-Simons field theory, we consider the quantum functional integration over the Deligne-Beilinson cohomology classes and present an explicit path-integral non-perturbative computation of the Chern-Simons link invariants in $SO(3)\simeq \mathbb{R}{P}^3$, a toy example of 3-manifold with torsion.

References in corpus (2)

• A Class of Topological Actions
• Deligne-Beilinson cohomology and abelian links invariants

Cited by in corpus (8)

• Path-integral invariants in abelian Chern-Simons theory
• Abelian BF theory and Turaev-Viro invariant
• Three-manifold invariant from functional integration
• Higher dimensional abelian Chern-Simons theories and their link invariants
• A reciprocity formula from abelian BF and Turaev-Viro theories
• Functional integration and abelian link invariants
• Field operators in topological quantum theories
• Abelian link invariants and homology