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Conference on Knot Theory and Its Applications to Physics and Quantum Computing; 60th birthday of Jozef H. Przytycki
January 6-9, 2015
University of Texas at Dallas
Richardson, TX, USA

Organizers
Mieczyslaw K. Dabkowski (UTD) Tobias Hagge (UTD) Valentina S. Harizanov (GWU) Viswanath Ramakrishna (UTD) Radmila Sazdanovic (NCSU) Adam S. Sikora (SUNYUB)

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Lower bounds for ropelength of links via higher linking numbers and other finite type invariants.
by
Andreas Michaelides
Tulane University
Coauthors: Rafal Komendarczyk

Based on the arrow diagram formulas for finite type invariants due to Goussarov, Polyak and Viro, we obtain lower bounds for the ropelength of links and knots. In this talk, I will specifically present ropelength and crossing number bounds for Brunnian links, in terms of Milnor triple linking number. Further, I will sketch how to obtain generalizations to the n-component case

Date received: December 2, 2014


Copyright © 2014 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 # cbjz-29.