Complexity of 4-Manifolds

Francesco Constantino

doi:em/1175789743

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Home > Journals > Experiment. Math. > Volume 15 > Issue 2 > Article

2006 Complexity of 4-Manifolds

Francesco Constantino

Experiment. Math. 15(2): 237-250 (2006).

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