Polytopal realizations of finite type g-vector fans
journal contribution
posted on 2019-05-17, 09:41 authored by Christophe Hohlweg, Vincent Pilaud, Salvatore StellaThis paper shows the polytopality of any finite type g-vector fan, acyclic or not. In fact, for any finite Dynkin type Γ, we construct a universal associahedron Assoun(Γ) with the property that any g-vector fan of type Γ is the normal fan of a suitable projection of Assoun(Γ).
Funding
CH was supported by NSERC Discovery grant Coxeter groups and related structures. SS was a Marie Curie – Cofund Fellow at INdAM and is now supported by the ISF grant 1144/16. VP was partially supported by the French ANR grant SC3A (15 CE40 0004 01).
History
Citation
Advances in Mathematics, 2018, 328, pp. 713-749Author affiliation
/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of MathematicsVersion
- AM (Accepted Manuscript)
Published in
Advances in MathematicsPublisher
Elsevier for Academic Pressissn
0001-8708eissn
1090-2082Acceptance date
2018-01-23Copyright date
2018Available date
2019-05-17Publisher DOI
Publisher version
https://www.sciencedirect.com/science/article/pii/S0001870818300367?via=ihubLanguage
enAdministrator link
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