English

A topological grading on bordered Heegaard Floer homology

Geometric Topology 2014-03-19 v2 Symplectic Geometry

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.

Keywords

Cite

@article{arxiv.1211.7367,
  title  = {A topological grading on bordered Heegaard Floer homology},
  author = {Yang Huang and Vinicius G. B. Ramos},
  journal= {arXiv preprint arXiv:1211.7367},
  year   = {2014}
}

Comments

35 pages, 20 figures, improvements in the presentation, to appear in Quantum Topology