Examples of non-commutative Hodge structures

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.

38 pages. Changes in v2: title changed, some corrections and improvements

References in corpus (2)

• An integral structure in quantum cohomology and mirror symmetry for toric orbifolds
• Curvature of classifying spaces for Brieskorn lattices

Cited by in corpus (2)

• Differential systems of pure Gaussian type
• Singularities of functions: a global point of view