2000 character limit reached
The Homotopy Types of $SU(4)$-Gauge Groups
Published 10 Sep 2019 in math.AT | (1909.04643v3)
Abstract: Let $\mathcal{G}k$ be the gauge group of the principal $SU(4)$-bundle over $S4$ with second Chern class $k$ and let $p$ be a prime. We show that there is a rational or $p$-local homotopy equivalence $\Omega\mathcal{G}_k\simeq\Omega\mathcal{G}{k'}$ if and only if $(60,k)=(60,k')$.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.