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 language | English |
---|---|
Pages (from-to) | 535-564 |
Number of pages | 30 |
Journal | Algebraic & Geometric Topology |
Volume | 10 |
Issue number | 1 |
DOIs | |
Publication status | Published - Mar 2010 |
Keywords
- gauge group
- p–local
- decomposition