Rational blow-downs in Heegaard-Floer homology

Mathematics – Geometric Topology

Scientific paper

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30 pages, many diagrams, uses dcpic

Scientific paper

The paper describes how known results in Heegaard-Floer homology apply to all
known examples of rational blow-downs, and provides several new four
dimensional pieces which could be exchanged while preserving some of the
Ozsv\'ath-Szab\'o four manifold invariants, when one of these pieces is found
embedded in a smooth four manifold.

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