Local rigidity for SL (3,C) representations of 3-manifolds groups
Résumé
Let M be a non-compact hyperbolic 3-manifold that has a tri- angulation by positively oriented ideal tetraedra. We explain how to produce local coordinates for the variety defined by the gluing equations for SL(3, C)- representations. In particular we prove local rigidity of the "geometric" rep- resentation in SL(3, C), recovering a recent result of Menal-Ferrer and Porti. More generally we give a criterion for local rigidty of SL(3, C)-representations and provide detailed analysis of the figure eight knot sister manifold exhibiting the different possibilities that can occur.
| Origine | Fichiers produits par l'(les) auteur(s) |
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