Mathematics > Algebraic Geometry
[Submitted on 29 May 2018 (v1), last revised 30 Sep 2019 (this version, v2)]
Title:$A_\infty$-structures associated with pairs of 1-spherical objects and noncommutative orders over curves
View PDFAbstract:We show that pairs $(X,Y)$ of 1-spherical objects in $A_\infty$-categories, such that the morphism space ${\rm Hom}(X,Y)$ is concentrated in degree 0, can be described by certain noncommutative orders over (possibly stacky) curves. In fact, we establish a more precise correspondence at the level of isomorphism of moduli spaces which we show to be affine schemes of finite type over ${\Bbb Z}$.
Submission history
From: Alexander Polishchuk [view email][v1] Tue, 29 May 2018 22:19:11 UTC (60 KB)
[v2] Mon, 30 Sep 2019 22:32:09 UTC (64 KB)
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