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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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The Grope Filtration and Higher-order Genera of Knots
by
Peter Horn
Rice University

We will discuss the non-triviality of the Grope filtration of the knot concordance group and introduce a further refinement of the filtration. The new invariants, called higher-order genera, give a geometric flavor to this filtration.

Paper reference: arXiv:0804.2661

Date received: May 1, 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-09.