混合 Hodge 结构变分、Higgs 场与量子上同调
代数几何
2007-05-23 v2
摘要
受 C. Simpson 工作的启发,本文表明每个定义在 Q 上的分次极化混合 Hodge 结构变分都在其底向量丛上自然产生一个 Higgs 场。随后在镜像对称的语境下表明,这些 Higgs 场与量子上同调有紧密关系。
引用
@article{arxiv.math/9808106,
title = {Variations of Mixed Hodge Structure, Higgs Fields, and Quantum Cohomology},
author = {Gregory J Pearlstein},
journal= {arXiv preprint arXiv:math/9808106},
year = {2007}
}
备注
44 Pages, Latex: This is an expanded version of the original paper, containing expository improvements and additional background material. It also contains a more detailed discussion of classifying spaces and an alternative proof by Deligne of our main result