Delucchi, Emanuele and Girard, Noriane and Paolini, Giovanni (2019) Shellability of Posets of Labeled Partitions and Arrangements Defined by Root Systems. The Electronic Journal of Combinatorics, 26 (4). ISSN 1077-8926
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Official Website: http://dx.doi.org/10.37236/7160
Abstract
We prove that the posets of connected components of intersections of toric and elliptic arrangements defined by root systems are EL-shellable and we compute their homotopy type. Our method rests on Bibby's description of such posets by means of "labeled partitions": after giving an EL-labeling and counting homology chains for general posets of labeled partitions, we obtain the stated results by considering the appropriate subposets.
Item Type: | Scientific journal article, Newspaper article or Magazine article |
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Subjects: | Mathematical sciences |
Department/unit: | Dipartimento tecnologie innovative > Istituto Dalle Molle di studi sull'intelligenza artificiale |
Depositing User: | Emanuele Delucchi |
Date Deposited: | 07 Jun 2022 09:21 |
Last Modified: | 07 Jun 2022 09:22 |
URI: | http://repository.supsi.ch/id/eprint/13433 |
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