tt*-geometry in quantum cohomology

Details tt*-geometry in quantum cohomology tt*-geometry in quantum cohomology

2009-06-06

arxiv.org/abs/0906.1307v1

Mathematics

Differential Geometry

34 pages. This paper is a revision of the real structure part of the preprint arXiv:0712.2204

Scientific paper

We study possible real structures in the space of solutions to the quantum
differential equation. We show that, under mild conditions, a real structure in
orbifold quantum cohomology yields a pure and polarized tt^*-geometry near the
large radius limit. We compute an example of P^1 which is pure and polarized
over the whole Kaehler moduli space H^2(P^1,C^*).

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