Three-manifolds and Dedekind sums

Daniel Lines

Monday 17th February, 2014 16:00-17:00 Maths 204

Abstract

Dedekind sums are arithmetic functions which arose in the study of 
modular holomorphic functions.
I shall explain in this expository talk how they are related to 
numerical invariants of 3-manifolds
and give conditions on the realisation of a 3-manifold by Dehn surgery 
on a knot in the 3-sphere.

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