|DATE||September 22 (Tue), 2020|
|TITLE||Local topology of the space of kleinian punctured torus group|
The deformation space AH(M) of hyperbolic 3-manifold is the space of all hyperbolic 3-manifold with fixed homotopy type. The interior of AH(M) is well-understood since 1970, but the topology of the entire space is more complicated by existence of singular points in the boundary. In this talk, we give almost complete classification of local singularity in the simplest case of deformation space, the space of once punctured torus group.