Vol. 285, No. 2, 2016

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The $\operatorname{SU}(2)$ Casson–Lin invariant of the Hopf link

Hans U. Boden and Christopher M. Herald

Vol. 285 (2016), No. 2, 283–288
Abstract

We compute the SU(2) Casson–Lin invariant for the Hopf link and determine the sign in the formula of Harper and Saveliev relating this invariant to the linking number.

Keywords
braids, links, representation spaces, Casson–Lin invariant
Mathematical Subject Classification 2010
Primary: 57M25
Secondary: 20C15
Milestones
Received: 22 January 2016
Revised: 20 April 2016
Accepted: 21 June 2016
Published: 21 November 2016
Authors
Hans U. Boden
Department of Mathematics and Statistics
McMaster University
1280 Main St. W.
Room 218
Hamilton, ON L8S 4K1
Canada
Christopher M. Herald
Department of Mathematics and Statistics
University of Nevada, Reno
Reno, NV 89557
United States