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arXiv:0804.1350 [math.GT]AbstractReferencesReviewsResources

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

Hans U. Boden, Benjamin Himpel

Published 2008-04-08Version 1

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.

Comments: 27 pages, 5 figures
Journal: Alg. Geom. Top. 9 (2009) 865-902
Categories: math.GT
Subjects: 58J30, 57M27, 57R57
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