Motion planning in tori

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Let X be a subcomplex of the standard CW-decomposition of the n-dimensional torus. We exhibit an explicit optimal motion planning algorithm for X. This construction is used to calculate the topological complexity of complements of general position arrangements and Eilenberg-Mac Lane spaces associated to right-angled Artin groups.
Results extended to arbitrary subcomplexes of tori. Results on products of even spheres added

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Geometric Topology, Algebraic Topology, 20F36, 52C35, 55M30

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http://salesiana.dossiersoluciones.com/handle/123456789/213922

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703069
 http://arxiv.org/abs/math/0703069
 Bull. London Math. Soc. 40 (2008), 249-262
 doi:10.1112/blms/bdn005

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arXiv