Absolute gradings on ECH and Heegaard Floer homology

Abstract

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.

arXiv comment16 pages, 4 figures; improvements to the exposition, to appear in Quantum Topology