Splicing and the SL(2,C) Casson invariant

Details Splicing and the SL(2,C) Casson invariant Splicing and the SL(2,C) Casson invariant

2007-07-27

arxiv.org/abs/0707.4134v1

Proc. Amer. Math. Soc. 136 (2008) 2615-2623

Mathematics

Geometric Topology

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

Scientific paper

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.

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