Motion planning in tori
classification
🧮 math.GT
math.AT
keywords
motionplanningalgorithmarrangementsartinassociatedcalculatecomplements
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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.
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