Topology Atlas | Conferences

Knots in Washington XLVII
January 20-21, 2019
George Washington University
Washington, DC, United States

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

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New quantum invariants and perturbative invariants of genus 2 handlebody-knots
by
Abe Sukuse
Osaka City University Advanced Mathematical Institute

A handlebody-knot is an embedding of a handlebody in the 3-sphere S3. We define the new quantum Uq (g) invariant and the perturbative g invariant of genus 2 handlebody-knots. It is effectively easy to calculate the perturbative invariant g=sl2, which is a significantly stronger invariant than the previous conventional invariant. These quantum invariants of handlebody-knots, unlike the other invariants, can distinguish handlebody-knots whose complementary space is homeomorophic.

Date received: November 20, 2018

Copyright © 2018 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 # cbpq-17.