Directed trees in a string, real polynomials with triple roots, and chain mails
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Author
Date
2004-09Type
- Journal Article
ETH Bibliography
no
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Abstract
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. Show more
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publishedExternal links
Journal / series
Discrete & Computational GeometryVolume
Pages / Article No.
Publisher
SpringerOrganisational unit
03677 - Kozlov, Dmitry (SNF-Professur)
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ETH Bibliography
no
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