Odd primary homotopy decompositions of gauge groups

Stephen D Theriault

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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

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Keywords

  • gauge group
  • p–local
  • decomposition

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