Abstract
Adapting a construction of D Salamon involving the vortex equations, we explore the properties of a Floer theory for 3–manifolds that fiber over 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.
Citation
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
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