Fonctionne avec Indico
v3.2.9
A 3-manifold is said to be $SU(2)$-cyclic if every representation of its fundamental group into $SU(2)$ has cyclic image. We will use this notion to discuss several questions about Dehn surgery. These include a proof, free of any gauge theory or Floer homology, that infinitely many 3-manifolds with weight-one fundamental group cannot be constructed by Dehn surgery on a knot in $\mathbb{S}^3$ ; and the construction of one-cusped hyperbolic 3-manifolds that have many $SU(2)$-cyclic Dehn fillings. This is joint work with Raphael Zentner.