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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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TQFT and Fibered Ribbon Knots
by
Patrick Gilmer
Louisiana State University

We will discuss a TQFT obstruction to a surface automorphism extending over a handlebody. As an application, we will describe another proof of Miyazaki's 1990 result that the (2,1)-cable of the figure eight knot is not a ribbon knot. Both proofs make use of the result of Casson and Gordon that a fibered knot is homotopy ribbon if and only if its capped-off monodromy extends over a handlebody.

Date received: May 15, 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-19.