Universal unfoldings of Laurent polynomials and tt* structures

Details Universal unfoldings of Laurent polynomials and tt* structures Universal unfoldings of Laurent polynomials and tt* structures

2008-02-09

arxiv.org/abs/0802.1259v3

in From Hodge theory to integrability and TQFT tt*-geometry, Proc. Sympos. Pure Math., vol. 78, Amer. Math. Soc., Providence,

Mathematics

Algebraic Geometry

28 pages, submitted to the proceedings of the conference 'From tQFT to tt* and integrability', Augsburg 2007. Revised version

Scientific paper

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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