tt*-geometry in quantum cohomology
Differential Geometry
2009-06-09 v1 Algebraic Geometry
Abstract
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^*).
Keywords
Cite
@article{arxiv.0906.1307,
title = {tt*-geometry in quantum cohomology},
author = {Hiroshi Iritani},
journal= {arXiv preprint arXiv:0906.1307},
year = {2009}
}
Comments
34 pages. This paper is a revision of the real structure part of the preprint arXiv:0712.2204