Topology Atlas | Conferences

Knots in Washington XXXVII
January 19-20, 2014
George Washington University
Washington, DC, USA

Mieczyslaw K. Dabkowski (UT Dallas), Valentina Harizanov (GWU), Jozef H. Przytycki (GWU and UMCP), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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A colored operad for string link infection
Robin Koytcheff
University of Victoria
Coauthors: John Burke

Budney recently constructed an operad which encodes splicing of knots and gave a decomposition of the space of knots over this splicing operad. Infection of links by string links is a generalization of splicing from knots to links and is useful in studying knot concordance. We construct a colored operad that encodes infection. This colored operad captures all the relations in the 2-string link monoid. We also show that a certain subspace of 2-string links is freely generated over a suboperad of our infection colored operad by its subspace of prime links.

Date received: December 18, 2013

Copyright © 2013 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 # cbid-14.