科瓦诺夫同源性和戈尔迪距离的精炼边界

arXiv - MATH - Quantum Algebra Pub Date : 2024-09-09 DOI:arxiv-2409.05743

Lukas Lewark, Laura Marino, Claudius Zibrowius

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摘要

从霍瓦诺夫同源性中，我们提取了一个新的结的戈尔迪安距离下界，它结合并加强了先前存在的来自拉斯穆森不变式和扭转不变式的下界。我们还改进了适当有理戈尔迪安距离的下界。

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Khovanov homology and refined bounds for Gordian distances

From Khovanov homology, we extract a new lower bound for the Gordian distance of knots, which combines and strengthens the previously existing bounds coming from Rasmussen invariants and from torsion invariants. We also improve the bounds for the proper rational Gordian distance.

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arXiv - MATH - Quantum Algebra

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