Splicing and the SL(2,C) Casson invariant

Abstract

We establish a formula for the SL(2,C) Casson invariant of spliced sums of homology spheres along knots. Along the way, we show that the SL(2,C) Casson invariant vanishes for spliced sums along knots in the 3-sphere.

9 pages, 2 figures, to appear in Proc. of the A.M.S

References in corpus (2)

• Dehn surgery, the fundamental group and SU(2)
• The SL(2,C) Casson invariant for Seifert fibered homology spheres and surgeries on twist knots

Cited by in corpus (3)

• The SL(2,C) Casson invariant for Dehn surgeries on two-bridge knots
• Finiteness of the image of the Reidemeister torsion of a splice
• The SL(2,C) Casson invariant for knots and the $\hat{A}$-polynomial