Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published December 2013 | Submitted
Journal Article Open

Virtual cubulation of nonpositively curved graph manifolds

Liu, Yi

Abstract

In this paper, we show that an aspherical compact graph manifold is nonpositively curved if and only if its fundamental group virtually embeds into a right-angled Artin group. As a consequence, nonpositively curved graph manifolds have linear fundamental groups.

Additional Information

© 2013 London Mathematical Society. Received 23 April 2012; revised 28 October 2012; published online 18 April 2013. The author thanks Ian Agol and Piotr Przytycki for valuable communications, and Stefan Friedl for his suggestion on the statement of Theorem 1.1. The author also thanks the referees for their proofreading and comments.

Attached Files

Submitted - 1110.1940v2.pdf

Files

1110.1940v2.pdf
Files (394.4 kB)
Name Size Download all
md5:ee40d8f01276bd32d9fa6ed8a176eafe
394.4 kB Preview Download

Additional details

Created:
August 19, 2023
Modified:
October 25, 2023