Complexity of surgery manifolds and Cheeger-Gromov invariants

Jae Choon Cha

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arXiv · 1506.00758

Complexity of surgery manifolds and Cheeger-Gromov invariants

Jae Choon Cha

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Abstract

We present new lower bounds on the complexity of Dehn surgery manifolds of knots, using our recent result on the Cheeger-Gromov rho invariants and triangulations. As an application, we give explicit examples of closed hyperbolic 3-manifolds with fixed first homology for which the gap between the Gromov norm and the complexity is arbitrarily large.

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Jae Choon Cha. 2015-06-02. Complexity of surgery manifolds and Cheeger-Gromov invariants. https://arxiv.org/abs/1506.00758

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