Atlas home || Conferences | Abstracts | about Atlas

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.

View Abstracts
Conference Homepage

Homology cobordism, concordance, and iterated p-covers
by
Jae Choon Cha
POSTECH

We investigate homology cobordism of 3-manifolds and link concordance using certain L-group-valued Hirzebruch-type invariants extracted from towers of iterated p-covers. The invariants are effective in detecting even amphichiral ones whose sophistication occurs at higher derived subgroups of the fundamental group. As an application we obtain the first proof of non-sliceness of iterated Bing doubles of certain amphichiral knots including the figure eight.

Paper reference: arXiv:0705.0088

Date received: May 6, 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-14.