Algebraic & Geometric Topology 6 (2006) 1677–1743

DOI: 10.2140/agt.2006.6.1677

arXiv: math.SG/0603128

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.

Keywords

Lefschetz fibration, Floer homology, symmetric product, TQFT

Mathematical Subject Classification

Primary: 57R57

Secondary: 53D40, 57R56

References

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Publication

Received: 10 July 2006
Accepted: 29 August 2006
Published: 21 October 2006

Authors