Splitting the spectral flow and the SU(3) Casson invariant for spliced sums
Geometric Topology
2014-11-11 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0804.1350,
title = {Splitting the spectral flow and the SU(3) Casson invariant for spliced sums},
author = {Hans U. Boden and Benjamin Himpel},
journal= {arXiv preprint arXiv:0804.1350},
year = {2014}
}
Comments
27 pages, 5 figures