Braids and symplectic four-manifolds with abelian fundamental group

Mathematics – Symplectic Geometry

Scientific paper

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9 pages, LaTeX

Scientific paper

We explain how a version of Floer homology can be used as an invariant of
symplectic manifolds with $b_1>0$. 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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