A diagrammatic approach to the Rasmussen invariant via tangles and cobordisms

2025/03/07 by Kim, KeeTaek, Sano, Taketo · 1 citation
#57K18 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2503.05414

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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