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arXiv · 0912.2754

Examples of non-commutative Hodge structures

Claus Hertling·Claude Sabbah
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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.

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Claus Hertling, Claude Sabbah. 2010-03-26. Examples of non-commutative Hodge structures. https://doi.org/10.1017/s147474801100003x

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