Degree one maps between small 3–manifolds and Heegaard genus

Boileau, Michel; Wang, Shicheng

doi:10.2140/agt.2005.5.1433

Download this article
	For screen
	For printing

Recent 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

Degree one maps between small 3–manifolds and Heegaard genus

Michel Boileau and Shicheng Wang

Algebraic & Geometric Topology 5 (2005) 1433–1450

DOI: 10.2140/agt.2005.5.1433

arXiv: math.GT/0402121

Abstract

We prove a rigidity theorem for degree one maps between small 3–manifolds using Heegaard genus, and provide some applications and connections to Heegaard genus and Dehn surgery problems.

Keywords

degree one map, small 3–manifold, Heegaard genus

Mathematical Subject Classification 2000

Primary: 57M50, 57N10

References

Forward citations

Publication

Received: 20 July 2005

Accepted: 2 September 2005

Published: 17 October 2005

Authors

Michel Boileau
Laboratoire Émile Picard CNRS UMR 5580 Université Paul Sabatier 118 Route de Narbonne F-31062 Toulouse Cedex 4 France

Shicheng Wang
LAMA Department of Mathematics Peking University Beijing 100871 China

Volume 5, issue 4 (2005)