A topological grading on bordered Heegaard Floer homology

  title={A topological grading on bordered Heegaard Floer homology},
  author={Yang Huang and Vinicius G. B. Ramos},
  journal={arXiv: Geometric Topology},
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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