Abstract | ||
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We define and study a notion of complexity for smooth, closed and orientable 4-manifolds. This notion, based on the theory of Turaev shadows, represents the 4-dimensional analogue of Matveev's complexity of 3-manifolds. We classify complexity-O and complexity-1 4-manifolds and provide examples of manifolds of higher complexity. |
Year | DOI | Venue |
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2006 | 10.1080/10586458.2006.10128960 | EXPERIMENTAL MATHEMATICS |
Keywords | Field | DocType |
4-manifolds,complexity,polyhedra | Topology,Structural complexity theory,Polyhedron,Manifold,Mathematics | Journal |
Volume | Issue | ISSN |
15.0 | 2.0 | 1058-6458 |
Citations | PageRank | References |
1 | 0.38 | 1 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
---|---|---|---|
Francesco Costantino | 1 | 67 | 10.31 |