Multiplication kernels
Algebraic Geometry
2022-01-05 v1 Exactly Solvable and Integrable Systems
Abstract
We introduce the notion of multiplication kernels of birational and -module type and give various examples. We also introduce the notion of a semi-classical multiplication kernel associated with an integrable system and discuss its quantization. Finally, we discuss geometric and algebraic aspects of method of separation of variables, and describe hypothetically a cyclic -module for the generalized multiplication kernels for Hitchin systems for groups .
Cite
@article{arxiv.2105.04238,
title = {Multiplication kernels},
author = {Maxim Kontsevich and Alexander Odesskii},
journal= {arXiv preprint arXiv:2105.04238},
year = {2022}
}
Comments
56 pages, latex