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The Seiberg–Witten invariants and 4–manifolds with essential tori

Clifford Henry Taubes
Geometry & Topology 5 (2001) 441–519
DOI: 10.2140/gt.2001.5.441

arXiv: math.GT/0105209
Abstract

A formula is given for the Seiberg–Witten invariants of a 4–manifold that is cut along certain kinds of 3–dimensional tori. The formula involves a Seiberg–Witten invariant for each of the resulting pieces.

Keywords
Seiberg–Witten invariants, gluing theorems
Mathematical Subject Classification 2000
Primary: 57R57
Secondary: 57M25, 57N13
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Publication
Received: 16 November 2000
Accepted: 5 May 2001
Published: 5 May 2001
Proposed: Robion Kirby
Seconded: Ronald Fintushel, Tomasz Mrowka
Authors
Clifford Henry Taubes
Department of Mathematics
Harvard University
Cambridge
Massachusetts 02138
USA