| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659882 | Topology and its Applications | 2011 | 14 Pages |
Abstract
If g is an integer ⩾2, and M is a closed simple 3-manifold such that π1(M) has a subgroup isomorphic to a genus-g surface group and dimZ2H1(M;Z2)⩾max(3g−1,6), we show that M contains a closed, incompressible surface of genus at most g. As an application we show that if M is a closed orientable hyperbolic 3-manifold such that , then dimZ2H1(M;Z2)⩽5.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
