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Knot Theory: Fifty Years Since Fox and Milnor
June 2-5, 2008
Brandeis University
Waltham (Massachusetts), USA

Organizers
Tim D. Cochran, Stavros Garoufalidis, Cameron Gordon, Daniel Ruberman, Kent Orr.

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Graph braid groups and right-angled Artin groups
by
Ki Hyoung Ko
KAIST and Brandeis University
Coauthors: Jee Hyoun Kim, Hyo Won Park

We give a necessary and sufficient condition for a graph to have a right-angled Artin group as its braid group for braid index greater than 4. In order to have the necessity part, graphs are organized into small classes so that one of homological or cohomological characteristics of right-angled Artin groups can be applied. For lower braid indices, we give few conjectures.

Paper reference: arXiv:0805.0082

Date received: May 5, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caxb-13.