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arxiv: 0804.1350 · v1 · pith:2FH4O5BWnew · submitted 2008-04-08 · 🧮 math.GT

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

classification 🧮 math.GT
keywords cassonalongflowinvariantspectralsplicedsplittingsums
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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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