English

On Jones' connections between subfactors, conformal field theory, Thompson's groups and knots

Operator Algebras 2020-03-11 v2 Mathematical Physics Group Theory History and Overview math.MP

Abstract

Surprisingly Richard Thompson's groups have recently appeared in Jones' subfactor theory. Vaughan Jones is famous for linking theories that are a priori completely disconnected; for instance, his celebrated polynomial for links emanating from subfactor theory. This note is about a new beautiful story in mathematics which results from a fortunate accident in the land of quantum field theory.

Keywords

Cite

@article{arxiv.1912.07140,
  title  = {On Jones' connections between subfactors, conformal field theory, Thompson's groups and knots},
  author = {Arnaud Brothier},
  journal= {arXiv preprint arXiv:1912.07140},
  year   = {2020}
}