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arXiv · 2008.10877

A Frobenius manifold for $\ell$-Kronecker quiver

Akishi Ikeda·Takumi Otani·Yuuki Shiraishi·Atsushi Takahashi
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Abstract

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 $\mathbb{C} K_{\ell}$.

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Akishi Ikeda, Takumi Otani, Yuuki Shiraishi, Atsushi Takahashi. 2020-08-25. A Frobenius manifold for $\ell$-Kronecker quiver. https://arxiv.org/abs/2008.10877

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