Splitting the spectral flow and the SU(3) Casson invariant for spliced sums Academic Article uri icon

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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.

publication date

  • May 5, 2009