Open Access
2006 Complexity of 4-Manifolds
Francesco Constantino
Experiment. Math. 15(2): 237-250 (2006).


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-0 and complexity-1 4-manifolds and provide examples of manifolds of higher complexity.


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Francesco Constantino. "Complexity of 4-Manifolds." Experiment. Math. 15 (2) 237 - 250, 2006.


Published: 2006
First available in Project Euclid: 5 April 2007

zbMATH: 1104.82005
MathSciNet: MR2253547

Primary: 57N13

Keywords: 4-manifolds , Complexity , polyhedra

Rights: Copyright © 2006 A K Peters, Ltd.

Vol.15 • No. 2 • 2006
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