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UID:970@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20151204T110000
DTEND;TZID=Europe/Paris:20151204T120000
DTSTAMP:20151119T100000Z
URL:https://www.i2m.univ-amu.fr/evenements/reidemeister-torsion-of-3-manif
 olds-for-sl-2-c-representations/
SUMMARY: (...): Reidemeister torsion of 3-manifolds for SL(2\;C)-representa
 tions
DESCRIPTION:: Reidemeister torsion is one of classical invariants for a 3-m
 anifold with a linear representation of the fundamental group. Roughly spe
 aking it is a function on the space of conjugacy classes of linear represe
 ntations. In 1930's it was defined and studied by Reidemeister\, Franz and
  de Rham to classify lens spaces. Lens space gives examples that are homot
 opy equivalent\, but not homeomorphic. By using Reidemeister torsion we ca
 n distinguish them up to homeomorphism. In this talk we consider this inva
 riant for SL(2\;C)-irreducible representations. In 1980's Dennis Johnson p
 roposed to consider a polynomial whose zero set are the set of the non-tri
 vial values of Reidemeister torsion. He also proved some recursive formula
  of this polynomial for some Brieskorn homology 3-spheres.I shall explain 
 some concrete examples and discuss the generalization of Johnson's formula
 . http://www.t.soka.ac.jp/~kitano/index-j.html
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