Non-singular graph-manifolds of dimension 4

A. Mozgova

doi:10.2140/agt.2005.5.1051

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Non-singular graph-manifolds of dimension 4

A. Mozgova

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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.

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A. Mozgova. 2005-08-30. Non-singular graph-manifolds of dimension 4. https://doi.org/10.2140/agt.2005.5.1051

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