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 Asso_un (Γ) with the property that any g-vector fan of type Γ is the normal fan of a suitable projection of Asso_un (Γ).
Polytopal realizations of finite type g-vector fans / Hohlweg, C.; Pilaud, V.; Stella, S.. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 328:(2018), pp. 713-749. [10.1016/j.aim.2018.01.019]
Polytopal realizations of finite type g-vector fans
Hohlweg C.;Stella S.
2018
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 Asso_un (Γ) with the property that any g-vector fan of type Γ is the normal fan of a suitable projection of Asso_un (Γ).File allegati a questo prodotto
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