3-立方体上拟环面流形的强上同调刚性
代数拓扑
2015-12-18 v2
摘要
拟环面流形是指具有局部标准环面作用且轨道空间可等同于单多胞形的光滑流形。对于一类拓扑空间，若其任意上同调环的同构均可实现为同胚，则称该类空间具有强上同调刚性。本文证明了 上拟环面流形类的强上同调刚性。
引用
@article{arxiv.1309.4182,
title = {Strong cohomological rigidity of quasitoric manifolds over the 3-cube},
author = {Sho Hasui},
journal= {arXiv preprint arXiv:1309.4182},
year = {2015}
}
备注
This paper has been withdrawn by the author since the new article "On the cohomology equivalences between bundle-type quasitoric manifolds over a cube" [arXiv:1409.7980] includes the result of this article