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A new concordance homomorphism from Khovanov homology

Geometric Topology 2024-01-17 v1 Quantum Algebra

Abstract

The universal Khovanov chain complex of a knot modulo an appropriate equivalence relation is shown to yield a homomorphism on the smooth concordance group, which is strictly stronger than all Rasmussen invariants over fields of different characteristics combined.

Keywords

Cite

@article{arxiv.2401.08480,
  title  = {A new concordance homomorphism from Khovanov homology},
  author = {Lukas Lewark},
  journal= {arXiv preprint arXiv:2401.08480},
  year   = {2024}
}

Comments

25 pages, 1 figure, comments welcome