Corpus ID: 222290663

Embedding calculus and grope cobordism of knots.

@article{Kosanovi2020EmbeddingCA,
  title={Embedding calculus and grope cobordism of knots.},
  author={Danica Kosanovi{\'c}},
  journal={arXiv: Geometric Topology},
  year={2020}
}
  • Danica Kosanović
  • Published 2020
  • Mathematics
  • arXiv: Geometric Topology
  • We show that the invariants $ev_n$ of long knots in a $3$-manifold, produced from embedding calculus, are surjective for all $n\geq1$. On one hand, this solves some of the remaining open cases of the connectivity estimates of Goodwillie and Klein, and on the other hand, it confirms one half of the conjecture by Budney, Conant, Scannell and Sinha that for classical knots $ev_n$ are universal additive Vassiliev invariants over the integers. We actually study long knots in any manifold of… CONTINUE READING
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