Work

Polytopal realizations of finite type g-vector fans

Year: 2018

Type: article

Abstract: This 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).

Source: Advances in Mathematics

DOI: 10.1016/j.aim.2018.01.019

Authors: Christophe Hohlweg, Vincent Pilaud, Salvatore Stella

Institutions: Université du Québec à Montréal, Centre National de la Recherche Scientifique, École Polytechnique, Laboratoire d'Informatique de l'École Polytechnique, Sapienza University of Rome, University of Haifa

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,790

Funders: Agence Nationale de la Recherche, Israel Science Foundation, Natural Sciences and Engineering Research Council of Canada

Awards: G2230347692, Surfaces, Categorification and Combinatorics of Cluster Algebras, G5905058583

OpenAlex ID: W2789940580

FWCI: 2.609

Cites: 46

Cited by: 31

Related to: 9