Geodesic
Splitting the spectral flow and the SU(3) Casson invariant for spliced sums
Boden, Hans U1 ; Himpel, Benjamin2
1 Department of Mathematics and Statistics, McMaster University, 1280 Main St W, Hamilton L8S-4K1, Canada
2 Mathematisches Institut, Rheinische Friedrich-Wilhelms-Universität Bonn, Beringstr 6, D-53115 Bonn, Germany
Algebraic and Geometric Topology, Tome 9 (2009) no. 2, pp. 865-902

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2009.9.865
Keywords: gauge theory, spectral flow, Maslov index, spliced sum, torus knot

Boden, Hans U 1 ; Himpel, Benjamin 2

1 Department of Mathematics and Statistics, McMaster University, 1280 Main St W, Hamilton L8S-4K1, Canada
2 Mathematisches Institut, Rheinische Friedrich-Wilhelms-Universität Bonn, Beringstr 6, D-53115 Bonn, Germany 
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Boden, Hans U; Himpel, Benjamin. Splitting the spectral flow and the SU(3) Casson invariant for spliced sums. Algebraic and Geometric Topology, Tome 9 (2009) no. 2, pp. 865-902. doi: 10.2140/agt.2009.9.865

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