2020/01/22 by Haibao Duan, Duan, Haibao, Siye Wu +1
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Advanced Topics in Algebra #Algebraic structures and combinatorial models
paper · pdf · doi:10.48550/arxiv.2001.07978
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.