$A_{\infty}$-modules and Calogero-Moser Spaces
Quantum Algebra
2011-11-10 v2 Representation Theory
Abstract
We re-examine the bijective correspondence between the set of isomorphism classes of ideals of the first Weyl algebra and associated quiver varieties (Calogero-Moser spaces) \cite{BW1, BW2}. We give a new explicit construction of this correspondence based on the notion of -envelope of a rank one torsion-free -module. Though perhaps less geometric than other methods, our approach is much simpler and seems more natural from the point of view of deformation theory.
Cite
@article{arxiv.math/0410194,
title = {$A_{\infty}$-modules and Calogero-Moser Spaces},
author = {Yuri Berest and Oleg Chalykh},
journal= {arXiv preprint arXiv:math/0410194},
year = {2011}
}
Comments
Final version (revised, with new appendix)