✦ LIBER ✦

Homeomorphic graph manifolds: A contribution to the μ constant problem

✍ Scribed by B. Perron; P. Shalen

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 369 KB
Volume: 99
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(98)00079-0

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✦ Synopsis

We give a characterization, in terms of homological data in covering spaces, of those maps between (3-dimensional) graph manifolds which are homotopic to homeomorphisms. As an application we give a condition on a cobordism between graph manifolds that guarantees that they are homeomorphic. This in turn is applied to give a partial result on the µ-constant problem in (complex) dimension three.