PIRSA:17010064 Scientific Series Condensed Matter Mathematical physics

DOI10.48660/17010064

Series: Quantum Matter

Ren, Y. (2017). From skein theory to presentations of Thompson groups. Perimeter Institute. https://pirsa.org/17010064

Ren, Yunxiang. From skein theory to presentations of Thompson groups. Perimeter Institute, Jan. 10, 2017, https://pirsa.org/17010064 

@misc{ pirsa_PIRSA:17010064,
  doi = {10.48660/17010064},
  url = {https://pirsa.org/17010064},
  author = {Ren, Yunxiang},
  keywords = {Condensed Matter, Mathematical physics},
  language = {en},
  title = {From skein theory to presentations of Thompson groups},
  publisher = {Perimeter Institute},
  year = {2017},
  month = {jan},
  note = {PIRSA:17010064 see, \url{https://pirsa.org}}
}

Abstract

Motivated by the question about reconstructing a Conformal field theory from the data of a subfactor of finite index, Jones studied the continuous limit of the periodic quantum spin chain which Thompson group acts on. Based on planar algebras, the topological axiomatization of subfactors, we will illustrate the idea of the correspondence between the skein theory of planar algebras and presentation of Thompson groups.

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