Topology Atlas | Conferences

Knots in Washington XXXI; Categorification, Quandles, Quantum knots and Quantum computing
December 3-5, 2010
George Washington University
Washington, DC, USA

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

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Concordance in non-simply connected manifolds
by
Prudence Heck
Rice University

Call two knots in a 3-manifold M concordant if they co-bound a properly embedded annulus in M ×I. I will use L2-signature techniques to construct concordance invariants of null-homologous, homotopically essential knots in certain 3-manifolds. I will then construct an infinite family of non-concordant knots that are characteristic to some fixed knot.

Paper reference: arXiv:1005.4435

Date received: October 19, 2010

Copyright © 2010 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 # cbbr-03.