Topology Atlas | Conferences

Knots in the Triangle (Knots kNot in Washington)
April 29 - May 1, 2016
North Carolina State University
Raleigh NC, USA

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

Conference Homepage


Tangles and the Alexander polynomial: studying related invariants
by
Iva Halacheva
University of Toronto

The Multivariable Alexander Polynomial, or MVA, is originally defined by Torres as an invariant of links. In her thesis, Archibald constructs an invariant of virtual tangles which generalizes the MVA and provides an easy verification of almost all its skein relations. I will define a reduced version of this invariant and discuss some of its properties, relations to the Gassner representation on braids and to an Alexander-type invariant on pure tangles (without closed components) introduced by Bar-Natan and coming from ribbon-knotted circles and spheres in four dimensions.

Date received: April 18, 2016

Copyright © 2016 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 # cbmk-36.