Higher-dimensional reidemeister torsion for cusped hyperbolic 3-manifolds

• Autores: Pere Menal Ferrer
• Directores de la Tesis: Joan Porti (dir. tes.)
• Lectura: En la Universitat Autònoma de Barcelona ( España ) en 2012
• Idioma: español
• Tribunal Calificador de la Tesis: Warren Dicks McLay (presid.) , Michael Heusener (secret.) , Stefan Friedl (voc.)
• Enlaces
  • Tesis en acceso abierto en: TESEO
• Resumen

  • 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.