The $P=W$ identity for cluster varieties
Algebraic Geometry
2019-03-19 v1
Abstract
We find new examples of the identity of de Cataldo-Hausel-Migliorini by studying cluster varieties. We prove that the weight filtration of 2D cluster varieties correspond to the perverse filtration of elliptic fibrations which are deformation equivalent to the elliptic fibrations of types or . These examples do not arise from character varieties or moduli of Higgs bundles.
Keywords
Cite
@article{arxiv.1903.07014,
title = {The $P=W$ identity for cluster varieties},
author = {Zili Zhang},
journal= {arXiv preprint arXiv:1903.07014},
year = {2019}
}
Comments
13 pages, comments are welcome!