A surgery description of an integral homology three-sphere respecting the Casson invariant

Makiko Ishiwata

KNOTS in WASHINGTON XII Conference on Knot Theory and its Ramifications
May 10-12, 2001
George Washington University
Washington, DC, USA

Organizers
Dubravko Ivansic, Ilya Kofman, Jozef H. Przytycki, Yongwu Rong, Akira Yasuhara

Conference Homepage

A surgery description of an integral homology three-sphere respecting the Casson invariant
by
Makiko Ishiwata
Tokyo Woman's Christian University and George Washington University

In 1998, C.Lescop proved that any integral homology sphere with the Casson invariant zero can be obtained from S³ by surgery on a boundary link each component of which has trivial Alexander polynomial. In this talk, we show that for any integral homology sphere H, there exists an integer k such that H can be obtained from S³ by surgery on a boundary link each component of which has the Alexander polynomial 1+k(t^1/2-t^-1/2)².

Date received: May 7, 2001