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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The tunnel number of handlebody-knots and G-families of biquandles
by
Tomo Murao
Tsukuba University

A handlebody-knot is a handlebody embedded in the 3-sphere S3. The tunnel number of a handlebody-knot is the minimal number of 1-handles that must be attached to the handlebody-knot such that the complement becomes a handlebody. In this talk, we give an evaluation formula of the tunnel number of handlebody-knots by using G-families of biquandles and some examples.

Date received: September 27, 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-04.