Casson's invariant and surgery on knots-Reference-Cited by-同舟云学术

Casson's invariant and surgery on knots

Published:1992-10 Issue:3 Volume:35 Page:383-395
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Frohman C. D.,Long D. D.

Abstract

We show that given a knot in a homology sphere there is a sequence of invariants with the property that if the nth invariant does not vanish, then this implies the existence of a family of irreducible representations of the fundamental group of the complement of the knot into SU(n).

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

1. 1. Akbulut S. and McCarthy J. , Notes on Casson's Invariant (Princeton Lecture Notes).

2. 7. Lin X.-S. , Representations of knot groups and twisted Alexander polynomials, preprint.

3. 3. Frohman C. , Unitary representations of knot groups, Topology, to appear.

4. 4. Frohman C. and Klassen E. , Deforming representations of knot groups into SU(2), preprint.

5. 5. Frohman C. and Long D. D. , Generalized Casson's invariants, in preparation.

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An orientation for the SU(2)-representation space of knot groups;Topology and its Applications;2003-01

2. KNOT AND LINK INVARIANTS AND MODULI SPACE OF PARABOLIC BUNDLES;Communications in Contemporary Mathematics;2001-11

3. Universal Formulae for SU$(n)$ Casson Invariants of Knots;Transactions of the American Mathematical Society;2000-03-24

4. Families of SU(2) representations for mapping cylinders of periodic monodromy;Proceedings of the Edinburgh Mathematical Society;1997-06

5. Fixed points of the mapping class group in the $SU(n)$ moduli spaces;Proceedings of the American Mathematical Society;1997