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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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Low genus knots in lens spaces
by
Jacob Rasmussen
Princeton/Cambridge

I'll discuss some results related to the following question: given a class in the first homology group of a lens space, what is the minimal genus of a knot representing that class? Any knot with an S3 surgery is an example of such a genus-minimizing knot.

Paper reference: arXiv:0710.2531

Date received: April 29, 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-08.