In this work, a universal branching set K for orientable 4-manifolds, such that $\pi_1(S^4 - K) = [a, b, c/aca^{-1}c^{-1} =1]$ is proved to exist. This leads to the possibility of representing every closed connected orientable 4-manifold by a suitable transitive set $\{\sigma, \tau, \mu\}$ of permutations, in analogy with known results for dimension three (see [Montesinos] and [Costa-delValMelus]).
A universal branching set for 4-dimensional manifolds / Casali, Maria Rita. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - STAMPA. - 165:(1993), pp. 261-279. [10.1007/BF01765852]
A universal branching set for 4-dimensional manifolds
CASALI, Maria Rita
1993
Abstract
In this work, a universal branching set K for orientable 4-manifolds, such that $\pi_1(S^4 - K) = [a, b, c/aca^{-1}c^{-1} =1]$ is proved to exist. This leads to the possibility of representing every closed connected orientable 4-manifold by a suitable transitive set $\{\sigma, \tau, \mu\}$ of permutations, in analogy with known results for dimension three (see [Montesinos] and [Costa-delValMelus]).Pubblicazioni consigliate
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