$A_\infty$structures associated with pairs of 1spherical objects and noncommutative orders over curves
Abstract
We show that pairs $(X,Y)$ of 1spherical 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 ${\Bbb Z}$.
 Publication:

arXiv eprints
 Pub Date:
 May 2018
 arXiv:
 arXiv:1805.11727
 Bibcode:
 2018arXiv180511727P
 Keywords:

 Mathematics  Algebraic Geometry
 EPrint:
 v1: 62 pages, v2: 67 pages