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