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Splitting the spectral
flow and the $\mathrm{SU}(3)$ Casson invariant for spliced
sums
Hans U Boden and Benjamin Himpel |
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Algebraic & Geometric Topology 9 (2009) 865–902
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Abstract |
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We show that the Casson invariant for spliced sums along certain torus knots equals 16 times the product of their Casson knot invariants. The key step is a splitting formula for spectral flow for closed –manifolds split along a torus. |
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Keywords
gauge theory, spectral flow, Maslov index, spliced sum,
torus knot
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Mathematical Subject Classification 2000
Primary: 58J30
Secondary: 57M27, 57R57
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References |
Publication
Received: 8 April 2008
Revised: 1 April 2009
Accepted: 5 April 2009
Published: 5 May 2009
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Authors |
| Hans U Boden | |
| Department of Mathematics and
Statistics McMaster University 1280 Main St W Hamilton L8S-4K1 Canada |
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| http://www.math.mcmaster.ca/boden | |
| Benjamin Himpel | |
| Mathematisches Institut Rheinische Friedrich-Wilhelms-Universität Bonn Beringstr 6 D-53115 Bonn Germany |
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| http://www.math.uni-bonn.de/people/himpel | |
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