Complexity of 4-Manifolds

Constantino, Francesco

Experiment. Math., Tome 15 (2006) no. 1, p. 237-250 / Harvested from Project Euclid

Résumé

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.

Publié le : 2006-05-15
Classification: 4-manifolds, complexity, polyhedra, 57N13

@article{1175789743,
     author = {Constantino, Francesco},
     title = {Complexity of 4-Manifolds},
     journal = {Experiment. Math.},
     volume = {15},
     number = {1},
     year = {2006},
     pages = { 237-250},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1175789743}
}

Constantino, Francesco. Complexity of 4-Manifolds. Experiment. Math., Tome 15 (2006) no. 1, pp.  237-250. http://gdmltest.u-ga.fr/item/1175789743/