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Abstract
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For a knot
in
we construct according to Casson—or more precisely taking into
account Lin and Heusener’s further works—a volume form on the
–representation space
of the group of .
We prove that this volume form is a topological knot invariant and explore some of
its properties.
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Keywords
knot groups, representation space, volume form, Casson
invariant, adjoint representation, SU
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Mathematical Subject Classification 2000
Primary: 57M25
Secondary: 57M05, 57M27
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Publication
Received: 24 September 2004
Revised: 25 August 2005
Accepted: 27 December 2005
Published: 12 March 2006
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