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arXiv · 1112.0290

An absolute grading on Heegaard Floer homology by homotopy classes of oriented 2-plane fields

Vinicius Gripp Barros Ramos·Yang Huang
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Abstract

For a closed oriented 3-manifold Y, we define an absolute grading on the Heegaard Floer homology groups of Y by homotopy classes of oriented 2-plane fields. We show that this absolute grading refines the relative one and that it is compatible with the maps induced by cobordisms. We also prove that if ξ is a contact structure on Y, then the grading of the contact invariant c(ξ) is the homotopy class of ξ.

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Vinicius Gripp Barros Ramos, Yang Huang. 2011-12-22. An absolute grading on Heegaard Floer homology by homotopy classes of oriented 2-plane fields. https://arxiv.org/abs/1112.0290

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