Examples of non-commutative Hodge structures
Algebraic Geometry
2011-07-20 v2 Complex Variables
Abstract
We show that if the Stokes matrix of a connection with a pole of order two and no ramification gives rise, when added to its adjoint, to a positive semi-definite Hermitian form, then the associated integrable twistor structure (or TERP structure, or non-commutative Hodge structure) is pure and polarized.
Cite
@article{arxiv.0912.2754,
title = {Examples of non-commutative Hodge structures},
author = {Claus Hertling and Claude Sabbah},
journal= {arXiv preprint arXiv:0912.2754},
year = {2011}
}
Comments
38 pages. Changes in v2: title changed, some corrections and improvements