Invariants from classical field theory
Mathematical Physics
2008-11-26 v3 High Energy Physics - Theory
Algebraic Topology
math.MP
Abstract
We introduce a method that generates invariant functions from perturbative classical field theories depending on external parameters. Applying our methods to several field theories such as abelian BF, Chern-Simons and 2-dimensional Yang-Mills theory, we obtain, respectively, the linking number for embedded submanifolds in compact varieties, the Gauss' and the second Milnor's invariant for links in S^3, and invariants under area-preserving diffeomorphisms for configurations of immersed planar curves.
Cite
@article{arxiv.0705.1017,
title = {Invariants from classical field theory},
author = {Rafael Diaz and Lorenzo Leal},
journal= {arXiv preprint arXiv:0705.1017},
year = {2008}
}