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