A topological grading on bordered Heegaard Floer homology

Yang Huang; Vinicius G. B. Ramos

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arXiv · 1211.7367

A topological grading on bordered Heegaard Floer homology

Yang Huang·Vinicius G. B. Ramos

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Abstract

In this paper, we construct a canonical grading on bordered Heegaard Floer homology by homotopy classes of nonvanishing vector fields. This grading is a generalization of our construction of an absolute grading on Heegaard Floer homology and it extends the well-known grading with values in a noncommutative group defined by Lipshitz-Ozsv\'ath-Thurston.

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Yang Huang, Vinicius G. B. Ramos. 2012-11-30. A topological grading on bordered Heegaard Floer homology. https://arxiv.org/abs/1211.7367

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