Rational blow-downs in Heegaard-Floer homology

Abstract

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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