The Higher Topological Complexity of Complement of Fiber Type Arrangement
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Let 𝓐 be a fiber type arrangement of hyperplanes in ℂ n with complement M(𝓐) (see Orlik, O., Terao, H. 1992). In this paper, we will give an explicit formula for the higher topological complexity T C n for the complement M(𝓐) in terms of exponents of the arrangement 𝓐.
KeywordsHigher topological complexity Motion planing algorithm Schwarz genus Hyperplane arrangements
Mathematics Subject Classification (2010)Primary 52C35 55R80 Secondary 14H10
The authors would like to thank the referee who has critically read the first manuscript of this paper and help them to bring it to the present form.
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