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The concept of alternating planar algebras first appeared in the work of Hernando Burgos-Soto on the Jones polynomial of alternating tangles. Alternating planar algebras provide an appropriate algebraic framework for other knot invariants in cases the elements involved in the computation are alternating. The concept has been used in extending to tangles some properties of Jones polynomial and Khovanov homology of alternating links.
References
- ↑ , George Brown College. Accessed December 19, 2015
- ↑ Burgos-Soto, Hernando (2010). "The Jones Polynomial and the Planar algebra of alternating tangles". Journal of Knot Theory and Its Ramifications. 19 (11): 1487. arXiv: 0807.2600 . doi:10.1142/S0218216510008510. S2CID 13993750.
- ↑ Bar-Natan, Dror; Burgos-Soto, Hernando (February 2014). "The Khovanov homology for alternating tangles". Journal of Knot Theory and Its Ramifications. 23 (2): 1450013. arXiv: 1003.4766 . doi:10.1142/S0218216514500138. S2CID 119237571.
- ↑ Minas, Adrian. "Hernando Burgos-Soto". Cuentos y Cuentos. Cuentos Y Cuentos. Retrieved 18 November 2015.
- ↑ Burgos-Soto, Hernando. "Mathematics Genealogy Project". Mathematics Genealogy Project. Retrieved 18 November 2015.
- ↑ Digital, Biblioteca. "Diagnostic Analysis in Generalized Linear Models" (PDF). REsument de Proyectos y tesis. Universidad Del Valle. Retrieved 18 November 2015.
- ↑ Burgos-Soto, Hernando (2010). "The Jones Polynomial and the Planar algebra of alternating tangles". Journal of Knot Theory and Its Ramifications. 19 (11): 1487. arXiv: 0807.2600 . doi:10.1142/S0218216510008510. S2CID 13993750.
- ↑ Burgos-Soto, Hernando (2010). "The Jones Polynomial and the planar algebra of alternating tangles". Journal of Knot Theory and Its Ramifications. 19 (11): 1503. arXiv: 0807.2600 . doi:10.1142/S0218216510008510. S2CID 13993750.
