Absolute gradings on ECH and Heegaard Floer homology
Symplectic Geometry
2016-11-15 v2 Geometric Topology
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.
Keywords
Cite
@article{arxiv.1403.2875,
title = {Absolute gradings on ECH and Heegaard Floer homology},
author = {Vinicius Gripp Barros Ramos},
journal= {arXiv preprint arXiv:1403.2875},
year = {2016}
}
Comments
16 pages, 4 figures; improvements to the exposition, to appear in Quantum Topology