Volume 8, issue 1 (2004)

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Permutations, isotropy and smooth cyclic group actions on definite 4–manifolds

Ian Hambleton and Mihail Tanase

Geometry & Topology 8 (2004) 475–509
 arXiv: math.GT/0307297
Abstract

We use the equivariant Yang–Mills moduli space to investigate the relation between the singular set, isotropy representations at fixed points, and permutation modules realized by the induced action on homology for smooth group actions on certain 4–manifolds.

Keywords
gauge theory, $4$–manifolds, group actions, Yang–Mills, moduli space
Mathematical Subject Classification 2000
Primary: 58D19, 57S17
Secondary: 70S15