Mathematical results inspired by physics
代数几何
2007-05-23 v1 量子代数
摘要
I will discuss results of three different types in geometry and topology. (1) General vanishing and rigidity theorems of elliptic genera proved by using modular forms, Kac-Moody algebras and vertex operator algebras. (2) The computations of intersection numbers of the moduli spaces of flat connections on a Riemann surface by using heat kernels. (3) The mirror principle about counting curves in Calabi-Yau and general projective manifolds by using hypergeometric series.
引用
@article{arxiv.math/0304460,
title = {Mathematical results inspired by physics},
author = {Kefeng Liu},
journal= {arXiv preprint arXiv:math/0304460},
year = {2007}
}