Non-singular graph-manifolds of dimension 4
Geometric Topology
2014-10-01 v3
Abstract
A compact 4-dimensional manifold is a non-singular graph-manifold if it can be obtained by the glueing T^2-bundles over compact surfaces (with boundary) of negative Euler characteristics. If none of glueing diffeomorphisms respect the bundle structures, the graph-structure is called reduced. We prove that any homotopy equivalence of closed oriented 4-manifolds with reduced nonsingular graph-structures is homotopic to a diffeomorphism preserving the structures.
Keywords
Cite
@article{arxiv.math/0411335,
title = {Non-singular graph-manifolds of dimension 4},
author = {A. Mozgova},
journal= {arXiv preprint arXiv:math/0411335},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-43.abs.html