3-manifolds efficiently bound 4-manifolds
نویسندگان
چکیده
منابع مشابه
2 00 5 3 - Manifolds Efficiently Bound 4 - Manifolds
It is known since 1954 that every 3-manifold bounds a 4-manifold. Thus, for instance, every 3-manifold has a surgery diagram. There are several proofs of this fact, including constructive proofs, but there has been little attention to the complexity of the 4-manifold produced. Given a 3-manifold M of complexity n, we show how to construct a 4-manifold bounded by M of complexity O(n). Here we me...
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ژورنال
عنوان ژورنال: Journal of Topology
سال: 2008
ISSN: 1753-8416
DOI: 10.1112/jtopol/jtn017