Braids and symplectic four-manifolds with abelian fundamental group

2002/02/14 by Paul Seidel, Seidel, Paul · 1 citation
Mathematics · #Advanced Algebra and Geometry #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.SG

paper · pdf · doi:10.48550/arxiv.math/0202135

9 pages, LaTeX

arxiv created 2002/02/14 · arxiv updated 2009/11/30

Abstract

We explain how a version of Floer homology can be used as an invariant of symplectic manifolds with b₁>0. As a concrete example, we look at four-manifolds produced from braids by a surgery construction. The outcome shows that the invariant is nontrivial; however, it is an open question whether it is stronger than the known ones.

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• The Calabi invariant and the least number of periodic solutions of locally Hamiltonian equations

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