The Jones Polynomial and Functions of Positive Type on the Oriented Jones–Thompson Groups $$\vec {F}$$ F → and $$\vec {T}$$ T →-Reference-Cited by-同舟云学术

The Jones Polynomial and Functions of Positive Type on the Oriented Jones–Thompson Groups $$\vec {F}$$ F → and $$\vec {T}$$ T →

Published:2018-11-14 Issue:7 Volume:13 Page:3127-3149
ISSN:1661-8254
Container-title:Complex Analysis and Operator Theory
language:en
Short-container-title:Complex Anal. Oper. Theory

Author:

Aiello Valeriano^ORCID,Conti Roberto

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11785-018-0866-6.pdf

Reference26 articles.

1. Aiello, V., Conti, R.: Graph polynomials and link invariants as positive type functions on Thompson’s group $$F$$ F . J. Knot Theory Ramif. (2015). Preprint arXiv:1510.04428

2. Aiello, V., Conti, R., Jones, V.F.R.: The Homflypt polynomial and the oriented Thompson group. Quantum Topol. 9, 461–472 (2018). Preprint arXiv:1609.02484

3. Belk, J.: Thompson’s group F. Ph.D. Thesis, Cornell University, Preprint arXiv:0708.3609

4. Bhatia, R.: Positive Definite Matrices. Princeton University Press, Princeton (2009)

5. Bollobas, B.: Modern Graph Theory, vol. 184. Springer Science and Business Media, Berlin (1998)

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1. An introduction to Thompson knot theory and to Jones subgroups;Journal of Knot Theory and Its Ramifications;2023-06-29

2. On the 3-colorable subgroup ℱ and maximal subgroups of Thompson’s group F;Annales de l'Institut Fourier;2022-11-28

3. On the oriented Thompson subgroup F→3 and its relatives in higher Brown–Thompson groups;Journal of Algebra and Its Applications;2021-03-31

4. On the Alexander theorem for the oriented Thompson group F;Algebraic & Geometric Topology;2020-02-23

5. Jones Representations of Thompson’s Group F Arising from Temperley–Lieb–Jones Algebras;International Mathematics Research Notices;2019-10-28