An upper bound on the topological complexity of discriminantal varieties

DOI10.4310/HHA.2022.V24.N1.A9zbMATH Open1487.55003arXiv2010.09615OpenAlexW3093160943MaRDI QIDQ2670959

Andrea Bianchi

Publication date: 3 June 2022

Published in: Homology, Homotopy and Applications (Search for Journal in Brave)

Abstract: We give an upper bound on the topological complexity of varieties $mathcalV$ obtained as complements in $mathbb{C}^m$ of the zero locus of a polynomial. As an application, we determine the topological complexity of unordered configuration spaces of the plane.

Full work available at URL: https://arxiv.org/abs/2010.09615

zbMATH Keywords

configuration spacetopological complexityaffine varietyequivariant topological complexity

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Group actions on varieties or schemes (quotients) (14L30) Discriminantal varieties and configuration spaces in algebraic topology (55R80)

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