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arXiv · 1404.7412

The Dehn function of Sp(2n;Z)

David Bruce Cohen
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Abstract

Gromov conjectured that any irreducible lattice in a symmetric space of rank at least 3 should have at most polynomial Dehn function. We prove that the lattice Sp(2p;Z) has quadratic Dehn function when p is at least 5. By results of Broaddus, Farb, and Putman, this implies that the Torelli group in large genus is at most exponentially distorted.

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David Bruce Cohen. 2014-04-29. The Dehn function of Sp(2n;Z). https://arxiv.org/abs/1404.7412

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