The L^2 signature of torus knots

Details The L^2 signature of torus knots The L^2 signature of torus knots

2010-01-08

arxiv.org/abs/1001.1329v3

Mathematics

Geometric Topology

11 pages, Version 2 contains a note explaining that the main theorem of the paper has already been proved in earlier work by K

Scientific paper

We find a formula for the L2 signature of a (p,q) torus knot, which is the
integral of the omega-signatures over the unit circle. We then apply this to a
theorem of Cochran-Orr-Teichner to prove that the n-twisted doubles of the
unknot, for n not 0 or 2, are not slice. This is a new proof of the result
first proved by Casson and Gordon.

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