加权 Grassmann 轨道折面的整广义等变上同调
代数拓扑
2022-06-24 v3 代数几何
摘要
我们引入加权 Grassmann 轨道折面的新定义。我们研究其若干不变 q-胞腔结构以及这些 q-胞腔上的轨道折面奇点。我们讨论加权 Grassmann 轨道折面的整上同调何时无 p-挠。我们计算了具有有理系数的加权 Grassmann 轨道折面的等变 K-理论环。我们引入可除加权 Grassmann 轨道折面，并证明其具有不变胞腔结构。我们计算了可除加权 Grassmann 轨道折面在整系数下的等变上同调环、等变 K-理论环和等变配边环。我们讨论了如何计算可除加权 Grassmann 轨道折面的整等变上同调环的加权结构常数。
引用
@article{arxiv.2104.10374,
title = {Integral generalized equivariant cohomologies of weighted Grassmann orbifolds},
author = {Koushik Brahma and Soumen Sarkar},
journal= {arXiv preprint arXiv:2104.10374},
year = {2022}
}
备注
30 pages, 1 figure. The previous version is subdivided into two parts. This part contains results related to weighted Grassmann orbifolds with some modification and new results. We are adding a few more results for simplicial GKM orbifold complex (which is 2nd section of previous version) and writing a seperate paper. Comments are welcome