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Splitting the spectral flow and the SU(3) Casson invariant for spliced sums
Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
- Hans U. Boden, Denmark
- Benjamin Himpel, Denmark
- Centre for Quantum Geometry of Moduli Spaces
- Center for the Topology and Quantization of Moduli Spaces (CTQM)
- Department of Mathematical Sciences
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 language | English |
|---|---|
| Journal | Algebraic & Geometric Topology |
| Volume | 9 |
| Issue | 2 |
| Pages (from-to) | 865--902 |
| Number of pages | 38 |
| ISSN | 1472-2747 |
| DOIs | |
| Publication status | Published - 2009 |
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