English

Filtration of Heegaard Floer homology and gluing formulas

Geometric Topology 2007-05-23 v2 Symplectic Geometry

Abstract

We introduce an extra filtration of \CFK(Y,K)\CFK(Y,K) and use it in order to obtain formulas for Floer homology of (Y,K)(Y,K), which is obtained from (Yi,Ki),i=1,2(Y_i,K_i), i=1,2 by gluing the knot complements on the framed torus boundaries.

Keywords

Cite

@article{arxiv.math/0410356,
  title  = {Filtration of Heegaard Floer homology and gluing formulas},
  author = {Eaman Eftekhary},
  journal= {arXiv preprint arXiv:math/0410356},
  year   = {2007}
}