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  Farber's conjecture for planar graphs

Knudsen, B. (2021). Farber's conjecture for planar graphs. Selecta Mathematica. New Series, 27(5): 90. doi:10.1007/s00029-021-00702-w.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0009-7944-3 Version Permalink: https://hdl.handle.net/21.11116/0000-0009-8FCF-E
Genre: Journal Article

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Knudsen, Ben1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Algebraic Topology, Geometric Topology
 Abstract: We prove that the ordered configuration spaces of planar graphs have the highest possible topological complexity generically, as predicted by a conjecture of Farber. Our argument establishes the same generic maximality for
all higher topological complexities. We include some discussion of the non-planar case, demonstrating that the standard approach to the conjecture fails at a fundamental level.

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Language(s): eng - English
 Dates: 2021-08-022021
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: arXiv: 2010.13530
DOI: 10.1007/s00029-021-00702-w
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Title: Selecta Mathematica. New Series
  Abbreviation : Selecta Math. (N.S.)
Source Genre: Journal
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Publ. Info: Birkhäuser
Pages: 12 Volume / Issue: 27 (5) Sequence Number: 90 Start / End Page: - Identifier: -