cicyt UNIZAR
Full-text links:

Download:

Current browse context:

math.AT

Change to browse by:

References & Citations

Bookmark

(what is this?)
CiteULike logo BibSonomy logo Mendeley logo del.icio.us logo Digg logo Reddit logo ScienceWISE logo

Mathematics > Algebraic Topology

Title: On the homotopy type of $\mathrm{Sp}(n)$ gauge groups

Abstract: Let $\mathcal{G}_{k,n}$ be the gauge group of the principal $\mathrm{Sp}(n)$-bundle over $S^4$ corresponding to $k\in\mathbb{Z}\cong\pi_3(\mathrm{Sp}(n))$. We refine the result of Sutherland on the homotopy types of $\mathcal{G}_{k,n}$ and relate it with the order of a certain Samelson product in $\mathrm{Sp}(n)$. Then we classify the $p$-local homotopy types of $\mathcal{G}_{k,n}$ for $(p-1)^2+1\ge 2n$.
Comments: 9 pages
Subjects: Algebraic Topology (math.AT)
Cite as: arXiv:1803.06477 [math.AT]
  (or arXiv:1803.06477v1 [math.AT] for this version)

Submission history

From: Daisuke Kishimoto [view email]
[v1] Sat, 17 Mar 2018 07:23:08 GMT (9kb)