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Nilpotency of the Bauer–Furuta stable homotopy
Seiberg–Witten invariants
Mikio Furuta, Yukio Kametani and Norihiko Minami
Geometry & Topology Monographs 10
(2007) 147–154
Abstract
We prove a nilpotency theorem for the Bauer–Furuta stable homotopy
Seiberg–Witten invariants for smooth closed 4–manifolds with trivial first Betti
number.
Dedicated to Professor Goro Nishida
for his 60th birthday
Keywords
stable homotopy theory, nilpotency
theorem, equivariant homotopy theory, 4–manifold
theory, Bauer–Furuta–Seiberg–Witten
invariants
Mathematical Subject Classification
Primary: 55P91, 57R57
Secondary: 55P42, 57M50
Publication
Received: 1 January 2005
Revised: 5 January 2006
Published: 29 January 2007