Systoles and Dehn surgery for hyperbolic 3-manifolds

Grant S. Lakeland; Christopher J. Leininger

doi:10.2140/agt.2014.14.1441

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arXiv · 1307.1919

Systoles and Dehn surgery for hyperbolic 3-manifolds

Grant S. Lakeland·Christopher J. Leininger

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Abstract

Given a closed hyperbolic 3-manifold M of volume V, and a link L in M such that the complement M \ L is hyperbolic, we establish a bound for the systole length of M \ L in terms of V. This extends a result of Adams and Reid, who showed that in the case that M is not hyperbolic, there is a universal bound of 7.35534... . As part of the proof, we establish a bound for the systole length of a non-compact finite volume hyperbolic manifold which grows asymptotically like (4/3)log(V).

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BibTeX RIS

Grant S. Lakeland, Christopher J. Leininger. 2013-10-29. Systoles and Dehn surgery for hyperbolic 3-manifolds. https://doi.org/10.2140/agt.2014.14.1441

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