具有非辛自同构的 K3 曲面生成的 G2-流形
微分几何
2015-05-30 v5
摘要
我们证明了具有素数阶非辛自同构的 K3 曲面可用于构造新的紧致不可约 G2-流形。Kovalev 和 Lee 曾详细阐述了针对非辛对合的该技术。我们利用 Chen-Ruan 轨道上同调来确定某些复三维流形的霍奇钻石，这些流形是该方法的基础构件。
引用
@article{arxiv.1110.2623,
title = {G2-manifolds from K3 surfaces with non-symplectic automorphisms},
author = {Max Pumperla and Frank Reidegeld},
journal= {arXiv preprint arXiv:1110.2623},
year = {2015}
}
备注
This paper has been withdrawn since a necessary condition for the existence of an asymptotically cylindrical Calabi-Yau metric on W_1 is in fact not satisified