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2006 Vortices and a TQFT for Lefschetz fibrations on 4–manifolds
Michael Usher
Algebr. Geom. Topol. 6(4): 1677-1743 (2006). DOI: 10.2140/agt.2006.6.1677

Abstract

Adapting a construction of D Salamon involving the U(1) vortex equations, we explore the properties of a Floer theory for 3–manifolds that fiber over S1 which exhibits several parallels with monopole Floer homology, and in all likelihood coincides with it. The theory fits into a restricted analogue of a TQFT in which the cobordisms are required to be equipped with Lefschetz fibrations, and has connections to the dynamics of surface symplectomorphisms.

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Michael Usher. "Vortices and a TQFT for Lefschetz fibrations on 4–manifolds." Algebr. Geom. Topol. 6 (4) 1677 - 1743, 2006. https://doi.org/10.2140/agt.2006.6.1677

Information

Received: 10 July 2006; Accepted: 29 August 2006; Published: 2006
First available in Project Euclid: 20 December 2017

zbMATH: 1131.57031
MathSciNet: MR2263047
Digital Object Identifier: 10.2140/agt.2006.6.1677

Subjects:
Primary: 57R57
Secondary: 53D40, 57R56

Rights: Copyright © 2006 Mathematical Sciences Publishers

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