Khovanov homology and Rasmussen's s-invariants for pretzel knots
Ryohei Suzuki
TL;DR
This paper computes the rational Khovanov homology and Rasmussen's s-invariants for a class of pretzel knots, providing new insights into their topological properties.
Contribution
It introduces a method to calculate Khovanov homology for pretzel knots and determines s-invariants for most three-pretzel knots, advancing knot invariant computations.
Findings
Calculated Khovanov homology for certain pretzel knots
Determined Rasmussen's s-invariants for most three-pretzel knots
Enhanced understanding of knot invariants for pretzel knots
Abstract
We calculated the rational Khovanov homology of some class of pretzel knots, by using the spectral sequence constructed by P. Turner. Moreover, we determined the Rasmussen's s-invariant of almost of pretzel knots with three pretzels.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Supramolecular Chemistry and Complexes