Remarks on Chern-Simons invariants

Details Remarks on Chern-Simons invariants Remarks on Chern-Simons invariants

2008-11-13

arxiv.org/abs/0811.2045v3

Commun.Math.Phys.293:803-836,2010

Mathematics

Quantum Algebra

33 pages; minor corrections, new appendices with technical details, new references, new example; to appear in Commun. Math. Ph

Scientific paper

10.1007/s00220-009-0959-1

The perturbative Chern-Simons theory is studied in a finite-dimensional version or assuming that the propagator satisfies certain properties (as is the case, e.g., with the propagator defined by Axelrod and Singer). It turns out that the effective BV action is a function on cohomology (with shifted degrees) that solves the quantum master equation and is defined modulo certain canonical transformations that can be characterized completely. Out of it one obtains invariants.

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