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

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 Added by Hans U. Boden
 Publication date 2008
  fields
and research's language is English




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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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