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math.AT2021
The rational cohomology groups of the classifying spaces of Kac-Moody groups
Zhao Xu-an, Gao Hongzhu, Ruan Yangyang
In this paper, we compute the rational cohomology groups of the classifying space of a simply connected Kac-Moody group of infinite type. The fundamental principle is "from finite…
math.GT2021
Chord index for knots in thickened surfaces
Zhiyun Cheng, Hongzhu Gao, Mengjian Xu
In this note, we construct a chord index homomorphism from a subgroup of to the group of chord indices of a knot in . Some knot invariants deriv…