A topological grading on bordered Heegaard Floer homology

  • Yang Huang

    Aarhus University, Denmark
  • Vinicius Gripp Barros Ramos

    Université de Nantes, France

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 dened in [5].

Cite this article

Yang Huang, Vinicius Gripp Barros Ramos, A topological grading on bordered Heegaard Floer homology. Quantum Topol. 6 (2015), no. 3, pp. 403–449

DOI 10.4171/QT/67