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Dehn fillings and elementary splittings

  • Published:2018-01-18 Issue:5 Volume:370 Page:3017-3051
  • ISSN:0002-9947
  • Container-title:Transactions of the American Mathematical Society
  • language:en
  • Short-container-title:Trans. Amer. Math. Soc.

Author:

Groves Daniel,Manning Jason

Abstract

We consider conditions on relatively hyperbolic groups about the nonexistence of certain kinds of splittings and show these properties persist in long Dehn fillings. We deduce that certain connectivity properties of the Bowditch boundary persist under long fillings.

Funder

National Science Foundation

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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1. Cohomology of group theoretic Dehn fillings II;Advances in Mathematics;2024-02

2. Quasiconvexity and Dehn filling;American Journal of Mathematics;2021

3. Boundaries of Dehn fillings;Geometry & Topology;2019-12-01

4. Local cut points and splittings of relatively hyperbolic groups;Algebraic & Geometric Topology;2019-10-20

5. Boundary classification and two-ended splittings of groups with isolated flats;Journal of Topology;2018-06-19
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