Topology Atlas | Conferences

Knots in Washington XLIII; 60th birthday of J. Scott Carter
December 9-11, 2016
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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Virtual doodles and a quandle type invariant
by
Naoko Kamada
Nagoya City University
Coauthors: Andrew Bartholomew, Roger Fenn, Seiichi Kamada

A doodle was defined by R. Fenn and P. Tayler in 1979. In their definition, a doodle is an equivalence class of a collection of embedded circles in the 2-sphere by Reidemeister move of type II. M. Khovanov extended it to immersed circles in 2-sphere. We generalize it to immersed circles on surfaces modulo surface surgeries besides Reidemeister moves of type I and II. Then doodles on surfaces correspond to virtual doodles on the plane. We also discuss a quandle type invariant for virtual doodle.

Date received: September 15, 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 # cbnq-05.