HF = ECH via open book decompositions: a summary

Mathematics – Symplectic Geometry

Scientific paper

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To appear on PNAS

Scientific paper

We sketch the proof of the equivalence between the hat versions of Heegaard
Floer homology and embedded contact homology. The key point is to express these
two Floer homology theories in terms of an open book decomposition of the
ambient manifold.

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