The polyhedral tree complex

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Abstract
  • The tree complex is a simplicial complex defined in recent work of Belk, Lanier, Margalit, and Winarski with applications to mapping class groups and complex dynamics.This article introduces a connection between this setting and the convex polytopes known
    as associahedra and cyclohedra. Specifically, we describe a characterization of these polytopes using planar embeddings of trees and show that the tree complex is the barycentric subdivision of a polyhedral cell complex for which the cells are products of associahedra
    and cyclohedra.
TitleThe polyhedral tree complex
CreatorDougherty, Michael
PublisherCombinatorial Theory
Academic DepartmentMathematics
DivisionNatural Sciences
OrganizationLafayette College
Date Issued2022
Date Available2022-11-18
TypeArticle
LanguageEnglish
Keywordmapping class groups
associahedra
planar trees
cyclohedra
Bibliographic CitationDougherty, M. (2022). “The polyhedral tree complex.” Combinatorial Theory 3.2: 8.
Standard IdentifierHandle 10385/db78td44m
DOI 10.5070/C62359156
Permalinkhttp://hdl.handle.net/10385/db78td44m
Rights Statement Creative Commons - Attribution Creative Commons - Attribution
Rights HoldersDougherty, Michael
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