Lower Bounds for Transversal Complexity of Torus Bundles over the Circle

  title={Lower Bounds for Transversal Complexity of Torus Bundles over the Circle},
  author={Sergeĭ S. Anisov},
For a 3-dimensional manifold M, its complexity c(M), introduced by S. Matveev, is the minimal number of vertices of an almost simple spine of M; in many cases it is equal to the minimal number of tetrahedra in a singular triangulation of M. Usually it is straightforward to give an upper bound for c(M), but obtaining lower bounds remains very difficult. We consider manifolds fibered by tori over the circle, introduce transversal complexity tc(M) for such manifolds, and give a lower bound for tc… CONTINUE READING


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