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arxiv: 1403.2875 · v2 · pith:TOAKRNJGnew · submitted 2014-03-12 · 🧮 math.SG · math.GT

Absolute gradings on ECH and Heegaard Floer homology

classification 🧮 math.SG math.GT
keywords homologydefinedgradingabsolutefloerheegaardcanonicalclasses
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In joint work with Yang Huang, we defined a canonical absolute grading on Heegaard Floer homology by homotopy classes of oriented 2-plane fields. A similar grading was defined on embedded contact homology by Michael Hutchings. In this paper we show that the isomorphism between these homology theories defined by Colin-Ghiggini-Honda preserves this grading.

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