Topology Atlas | Conferences

Knots in Washington XLV
December 8-10, 2017
George Washington University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Psyquandles, Singular Knots and Pseudoknots
by
Sam Nelson
Claremont McKenna College
Coauthors: Natsumi Oyamaguchi and Radmila Sazdanovic

Psyquandles are an algebraic structure with axioms motivated by the Reidemeister moves for singular knots and pseudoknots. In this talk we will introduce psyquandles, give examples of finite psyquandles and the psyquandle counting invariant, and introduce an Alexander polynomial-style invariant of singular knots and pseudoknots we call the Jablan polynomial.

Date received: October 17, 2017

Copyright © 2017 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cboj-05.