The multi-degree of coverings on Lie groups
Algebraic Topology
2020-01-23 v1 Mathematical Physics
Algebraic Geometry
math.MP
Abstract
We associate to each covering map of simple Lie groups a sequence of integers, called the multi-degree of the covering; extend Schubert calculus to evaluate the invariant; and apply the results to solve two outstanding topological problems arising from the studies of the Wess-Zumino-Witten models and the topological Gauge theories. The main tool in our approach is the Chow rings of Lie groups, introduced by Grothendieck in 1958.
Keywords
Cite
@article{arxiv.2001.07978,
title = {The multi-degree of coverings on Lie groups},
author = {Haibao Duan and Siye Wu},
journal= {arXiv preprint arXiv:2001.07978},
year = {2020}
}
Comments
20pages