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arXiv · 1810.03799

The characteristic classes and Weyl invariants of Spinor groups

Haibao Duan
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Abstract

Based on a pair of cohomology operations on so called $\delta-2$-formal spaces, we construct the integral cohomology rings of the classifying spaces of the Lie groups $Spin(n)$ and $Spin^{c}(n)$. As applications, we introduce characteristic classes for the reduced topological $K_{Spin}$ theory, determine the ring of integral Weyl invariants of the group $Spin(n)$, and demonstrate their usages in spin geometry.

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Haibao Duan. 2018-10-09. The characteristic classes and Weyl invariants of Spinor groups. https://arxiv.org/abs/1810.03799

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