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A Dehn function for $Sp (2 n, ℤ)$

David Bruce Cohen

Department of Mathematics, Rice University, MS 136, 6100 Main St. Houston, TX 77005, USA

https://doi.org/10.1142/S1793525317500121Cited by:1 (Source: Crossref)

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 $Sp (2 p; ℤ)$ has quadratic Dehn function when $p \geq 5$ . By results of Broaddus, Farb, and Putman, this implies that the Torelli group in large genus is at most exponentially distorted.

Keywords:

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