Absolute gradings on ECH and Heegaard Floer homology

Absolute gradings on ECH and Heegaard Floer homology

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 theorie...

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1. Verfasser: Ramos, Vinicius Gripp Barros
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Geometric Topology
Mathematics - Symplectic Geometry
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Zusammenfassung: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.
DOI:10.48550/arxiv.1403.2875