A diagrammatic approach to the Rasmussen invariant via tangles and cobordisms
Abstract
We introduce a diagrammatic approach to Rasmussen's s-invariant, based on Bar-Natan's reformulation of Khovanov homology for tangles and cobordisms. This method enables a local computation of s from a tangle decomposition of a knot diagram. As an application, we compute the s-invariants of all 3-strand pretzel knots.
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