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arXiv · 2001.07978

The multi-degree of coverings on Lie groups

Haibao Duan·Siye Wu
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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.

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Haibao Duan, Siye Wu. 2020-01-22. The multi-degree of coverings on Lie groups. https://arxiv.org/abs/2001.07978

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