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arxiv: 1811.06432 · v1 · pith:BIPFAASVnew · submitted 2018-11-15 · 🧮 math.GT · math.AT

A fast algorithm for calculating s-invariants

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keywords algorithmcalculatinginvariantskhovanovalgorithmsalternativeapplyaway
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We use the divide-and-conquer and scanning algorithms for calculating Khovanov cohomology directly on the Lee- or Bar-Natan deformations of the Khovanov complex to give an alternative way to compute Rasmussen $s$-invariants of knots. By disregarding generators away from homological degree 0 we can considerably improve the efficiency of the algorithm. With a slight modification we can also apply it to a refinement of Lipshitz-Sarkar.

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