Title
Complexity of 4-Manifolds
Abstract
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
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 Costantino16710.31