Geometry & Topology
- Geom. Topol.
- Volume 5, Number 1 (2001), 143-226.
Gauge theoretic invariants of Dehn surgeries on knots
New methods for computing a variety of gauge theoretic invariants for homology 3–spheres are developed. These invariants include the Chern–Simons invariants, the spectral flow of the odd signature operator, and the rho invariants of irreducible representations. These quantities are calculated for flat connections on homology 3–spheres obtained by Dehn surgery on torus knots. The methods are then applied to compute the gauge theoretic Casson invariant (introduced in [J. Diff. Geom. 50 (1998) 147-206]) for Dehn surgeries on torus knots for and 9.
Geom. Topol., Volume 5, Number 1 (2001), 143-226.
Received: 20 September 1999
Accepted: 7 March 2001
First available in Project Euclid: 21 December 2017
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Boden, Hans U; Herald, Christopher M; Kirk, Paul A; Klassen, Eric P. Gauge theoretic invariants of Dehn surgeries on knots. Geom. Topol. 5 (2001), no. 1, 143--226. doi:10.2140/gt.2001.5.143. https://projecteuclid.org/euclid.gt/1513882987