Rank and genus of amalgamated 3-manifolds

Rank and genus of amalgamated 3-manifolds

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Tao Li, Boston College
Fine Hall 314

A fundamental question in 3-manifold topology is whether or not the rank of the fundamental group of a closed 3-manifold is equal to the Heegaard genus. We use hyperbolic JSJ pieces to construct closed 3-manifolds with rank smaller than genus.