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.
Highlights
In [3] Khovanov introduced a completely new way to define link invariants
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
By using the filtration Rasmussen [6] has defined an integer invariant of knots s(K) which has many wonderful properties. For example he showed that the s-invariant yields a lower bound of the smooth slice genus which led to a new combinatorial proof of the Milnor conjecture concerning the slice genus of torus knots
Summary
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.
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