English

Invariants of $2$-knots

Geometric Topology 2022-11-01 v1

Abstract

This short survey, which was written to accompany a minicourse at the BIRS conference "Topology in dimension 4.5", concerns invariants of knotted 22-spheres in S4S^4, also known as 22-knots. It covers invariants extracted from the algebraic topology of the knot exterior, including Alexander invariants, the Farber-Levine pairing and Casson-Gordon invariants, as well as gauge theoretic and combinatorial invariants. Details are scarce and new results inexistant.

Keywords

Cite

@article{arxiv.2210.17447,
  title  = {Invariants of $2$-knots},
  author = {Anthony Conway},
  journal= {arXiv preprint arXiv:2210.17447},
  year   = {2022}
}

Comments

16 pages. These notes were written to accompany a minicourse at the BIRS conference "Topology in dimension 4.5". Comments welcome