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Directed trees in a string, real polynomials with triple roots, and chain mails
KTH, Superseded Departments, Mathematics.
2004 (English)In: Discrete & Computational Geometry, ISSN 0179-5376, E-ISSN 1432-0444, Vol. 32, no 3, 373-382 p.Article in journal (Refereed) Published
Abstract [en]

This paper starts with an observation that two infinite series of simplicial complexes, which a priori do not seem to have anything to do with each other, have the same homotopy type. One series consists of the complexes of directed forests on a double directed string, while the other one consists of Shapiro-Welker models for the spaces of hyperbolic polynomials with a triple root. We explain this coincidence in the more general context by finding an explicit homotopy equivalence between complexes of directed forests on a double directed tree, and doubly disconnecting complexes of a tree.

Place, publisher, year, edition, pages
2004. Vol. 32, no 3, 373-382 p.
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Mathematics Computer Science
Identifiers
URN: urn:nbn:se:kth:diva-40545DOI: 10.1007/s00454-004-2906-4ISI: 000223650400006Scopus ID: 2-s2.0-4744346495OAI: oai:DiVA.org:kth-40545DiVA: diva2:441590
Note
QC 20110916Available from: 2011-09-16 Created: 2011-09-16 Last updated: 2017-12-08Bibliographically approved

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