Essentially normal quotient weighted Bergman modules over the bidisk and distinguished varieties
Operator Algebras
2023-04-27 v1
Abstract
We introduce a Grassmannian structure for a class of quotient Hilbert modules and attack the polydisc version of Arveson-Douglas conjecture associated to distinguished varieties. More interestingly, we obtain an operator-theoretic characterization of distinguished varieties in the bidisk in terms of essential normality of the quotient modules. As an application, we study the K-homology of the boundary of distinguished variety.
Keywords
Cite
@article{arxiv.2304.13560,
title = {Essentially normal quotient weighted Bergman modules over the bidisk and distinguished varieties},
author = {Kunyu Guo and Penghui Wang and Chong Zhao},
journal= {arXiv preprint arXiv:2304.13560},
year = {2023}
}