A Frobenius manifold for \(\ell\)-Kronecker quiver

We construct a Frobenius structure whose intersection form coincides with the generalized Cartan matrix of the \(\ell\)-Kronecker quiver \(K_{\ell}\) and underlying complex manifold is isomorphic to the space of stability conditions for the bounded derived category of finitely generated modules over...

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Bibliographic Details
Published in:arXiv.org 2020-08
Main Authors: Ikeda, Akishi, Otani, Takumi, Shiraishi, Yuuki, Takahashi, Atsushi
Format: Article
Language:English
Subjects:
Manifolds
Online Access:Get full text
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Summary:We construct a Frobenius structure whose intersection form coincides with the generalized Cartan matrix of the \(\ell\)-Kronecker quiver \(K_{\ell}\) and underlying complex manifold is isomorphic to the space of stability conditions for the bounded derived category of finitely generated modules over the path algebra \(\mathbb{C} K_{\ell}\).
ISSN:2331-8422