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A geometric model for the module category of a gentle algebra

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Skew-group $A_{\infty}$-categories as Fukaya categories of orbifolds

math.RT · 2024-05-24 · unverdicted · novelty 7.0

Skew-group A_∞-categories are defined to represent Fukaya categories of orbifolds, with indecomposable objects classified as graded curves with taggings and tilting objects yielding derived equivalences to skew-gentle algebras.

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  • Skew-group $A_{\infty}$-categories as Fukaya categories of orbifolds math.RT · 2024-05-24 · unverdicted · none · ref 6

    Skew-group A_∞-categories are defined to represent Fukaya categories of orbifolds, with indecomposable objects classified as graded curves with taggings and tilting objects yielding derived equivalences to skew-gentle algebras.