Remarks on Chern-Simons invariants
Quantum Algebra
2009-12-08 v3 High Energy Physics - Theory
Mathematical Physics
Algebraic Topology
Geometric Topology
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.0811.2045,
title = {Remarks on Chern-Simons invariants},
author = {Alberto S. Cattaneo and Pavel Mnev},
journal= {arXiv preprint arXiv:0811.2045},
year = {2009}
}
Comments
33 pages; minor corrections, new appendices with technical details, new references, new example; to appear in Commun. Math. Phys.