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

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  • Hans U. Boden, Denmark
  • Benjamin Himpel, Denmark
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.
Original languageEnglish
JournalAlgebraic & Geometric Topology
Volume9
Issue2
Pages (from-to)865--902
Number of pages38
ISSN1472-2747
DOIs
Publication statusPublished - 2009

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