Now showing items 1-4 of 4
The SL(2,C) Casson invariant for knots and the Aˆ-polynomial
(Canadian Journal of Mathematics, 2016)
In this paper, we extend the definition of the SL(2, C) Casson invariant to arbitrary knots K in integral homology 3-spheres and relate it to the m-degree of the (A) over cap -polynomial of K. We prove a product formula ...
The SL(2, C) Casson invariant for Dehn surgeries on two-bridge knots
(Mathematical Sciences Publishers, 2012)
We investigate the behavior of the SL(2, C) Casson invariant for 3-manifolds obtained by Dehn surgery along two-bridge knots. Using the results of Hatcher and Thurston, and also results of Ohtsuki, we outline how to compute ...
Splicing and the SL(2,C) invariant
(American Mathematical Society, 2008)
We establish a formula for the SL2(C) Casson invariant of spliced sums of homology spheres along knots. Along the way, we show that the SL2(C) Casson invariant vanishes for spliced sums along knots in S-3.
The SL(2,C) Casson invariant for Seifert fibered homology spheres and surgeries on twist knots
(World Scientific Publishing, 2006)
We derive a simple closed formula for the SL(2,C) Casson invariant for Seifert fibered homology 3-spheres using the correspondence between SL(2,C) character varieties and moduli spaces of parabolic Higgs bundles of rank ...