Universal unfoldings of Laurent polynomials and tt* structures

preprint2008arXivOpen access

Abstract

This article surveys the relations between harmonic Higgs bundles and Saito structures which lead to tt* geometry on Frobenius manifolds. We give the main lines of the proof of the existence of a canonical tt* structure on the base space of the universal unfolding of convenient and nondegenerate Laurent polynomials.

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