Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 12, Number 2 (2012), 1081-1098.
The link concordance invariant from Lee homology
We use the knot homology of Khovanov and Lee to construct link concordance invariants generalizing the Rasmussen –invariant of knots. The relevant invariant for a link is a filtration on a vector space of dimension . The basic properties of the –invariant all extend to the case of links; in particular, any orientable cobordism between links induces a map between their corresponding vector spaces which is filtered of degree . A corollary of this construction is that any component-preserving orientable cobordism from a –thin link to a link split into components must have genus at least . In particular, no quasi-alternating link is concordant to a split link.
Algebr. Geom. Topol., Volume 12, Number 2 (2012), 1081-1098.
Received: 25 July 2011
Revised: 9 February 2012
Accepted: 14 February 2012
First available in Project Euclid: 19 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Pardon, John. The link concordance invariant from Lee homology. Algebr. Geom. Topol. 12 (2012), no. 2, 1081--1098. doi:10.2140/agt.2012.12.1081. https://projecteuclid.org/euclid.agt/1513715381