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Resumen de Higher-dimensional reidemeister torsion for cusped hyperbolic 3-manifolds

Pere Menal Ferrer

  • In this thesis we introduce the definition of a new family of invariants for a hyperbolic 3-manifold. These invariants are called higher-dimensional Reidemeister torsion invariants, since they are defined as a certain Reidemeister torsion using the n-dimensional fundamental representation of SL(2,C). Among others, we study the following aspects about such invariants: asymptotic behaviour, geometric interpretation, mutation.


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