English

A remark on Rasmussen's invariant of knots

Geometric Topology 2012-07-06 v2 Quantum Algebra

Abstract

We show that Rasmussen's invariant of knots, which is derived from Lee's variant of Khovanov homology, is equal to an analogous invariant derived from certain other filtered link homologies.

Cite

@article{arxiv.math/0509692,
  title  = {A remark on Rasmussen's invariant of knots},
  author = {Marco Mackaay and Paul Turner and Pedro Vaz},
  journal= {arXiv preprint arXiv:math/0509692},
  year   = {2012}
}

Comments

There are two errors in the proof of Proposition 3.2. in this paper. These are indicated in an erratum added at the beginning. As a consequence the proof of Proposition 3.2 no longer holds and the proof of Theorem 4.2, which relies on it, is no longer valid