University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > Homology of curves and surfaces in closed hyperbolic 3-manifolds

Homology of curves and surfaces in closed hyperbolic 3-manifolds

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  • UserVlad Markovic, Cambridge
  • ClockWednesday 13 November 2013, 14:15-15:15
  • HouseMR13.

If you have a question about this talk, please contact Ivan Smith.

We prove the following two topologcal statements about closed hyperbolic 3-manifolds. First, every rational second homology class of a closed hyperbolic 3-manifold has a positve integral multiple represented by a connected closed quasi-Fuchsian subsurface. Second, every rationally nullhomologous closed 1-submanifold in a closed hyperbolic 3-manifold has an equidegree finite cover which bounds a quasi-Fuchsian subsurface. This talk reports on joint work with Yi Liu.

This talk is part of the Differential Geometry and Topology Seminar series.

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