Splitting the spectral flow and the SU(3) Casson invariant for spliced sums

Details Splitting the spectral flow and the SU(3) Casson invariant for spliced sums Splitting the spectral flow and the SU(3) Casson invariant for spliced sums

2008-04-08

arxiv.org/abs/0804.1350v1

Alg. Geom. Top. 9 (2009) 865-902

Mathematics

Geometric Topology

27 pages, 5 figures

Scientific paper

10.2140/agt.2009.9.865

We show that the SU(3) Casson invariant for spliced sums along certain torus
knots equals 16 times the product of their SU(2) Casson knot invariants. The
key step is a splitting formula for su(n) spectral flow for closed 3-manifolds
split along a torus.

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