Volume 14, issue 2 (2014)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 24
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
On compact hyperbolic manifolds of Euler characteristic two

Vincent Emery

Algebraic & Geometric Topology 14 (2014) 853–861
Abstract

We prove that for n > 4 there is no compact arithmetic hyperbolic n–manifold whose Euler characteristic has absolute value equal to 2. In particular, this shows the nonexistence of arithmetically defined hyperbolic rational homology n–spheres with n even and different than 4.

Dedicated to the memory of Colin Maclachlan

Keywords
locally symmetric spaces, hyperbolic manifolds, arithmetic groups, rational homology spheres
Mathematical Subject Classification 2010
Primary: 22E40
Secondary: 55C35, 51M25
References
Publication
Received: 15 May 2013
Accepted: 9 September 2013
Published: 31 January 2014
Authors
Vincent Emery
Department of Mathematics
Stanford University
Stanford, CA 94305
USA