Boundary slopes of immersed surfaces in 3-manifolds

Type: Article

Publication Date: 1999-01-01

Citations: 20

DOI: https://doi.org/10.4310/jdg/1214425279

Abstract

This paper presents some finiteness results for the number of boundary slopes of immersed proper 7ri-injective surfaces of given genus g in a compact 3-manifold with torus boundary.In the case of hyperbolic 3-manifolds we obtain uniform quadratic bounds in g, independent of the 3-manifold.

Locations

  • Journal of Differential Geometry - View - PDF
  • arXiv (Cornell University) - View - PDF

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