Odd primary homotopy decompositions of gauge groups

Stephen D Theriault

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

We construct p–local decompositions of certain gauge groups when p is an odd prime. Specifically, we decompose SU(n), Sp(n) and Spin(n)–gauge groups over simply connected 4–manifolds and U(n)–gauge groups over compact, orientable Riemann surfaces, given certain restrictions on n that depend on p.
Original languageEnglish
Pages (from-to)535-564
Number of pages30
JournalAlgebraic & Geometric Topology
Volume10
Issue number1
DOIs
Publication statusPublished - Mar 2010

Fingerprint

Gauge Group
Homotopy
Odd
Decompose
Riemann Surface
Restriction

Keywords

  • gauge group
  • p–local
  • decomposition

Cite this

Odd primary homotopy decompositions of gauge groups. / Theriault, Stephen D.

In: Algebraic & Geometric Topology, Vol. 10, No. 1, 03.2010, p. 535-564.

Research output: Contribution to journalArticle

Theriault, Stephen D. / Odd primary homotopy decompositions of gauge groups. In: Algebraic & Geometric Topology. 2010 ; Vol. 10, No. 1. pp. 535-564.
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