自由群特征簇的同伦型
代数拓扑
2016-09-23 v1 代数几何
表示论
摘要
设G是一个具有极大紧子群K的实约化代数群，F是一个秩为r的自由群。这里，我们总结了从Hom(F,G)/G中闭轨道的空间到轨道空间Hom(F,K)/K的自然强形变收缩的构造。特别地，这些空间具有相同的同伦型。
引用
@article{arxiv.1412.4396,
title = {Homotopy type of free group character varieties},
author = {Ana Casimiro and Carlos Florentino and Sean Lawton and André Oliveira},
journal= {arXiv preprint arXiv:1412.4396},
year = {2016}
}
备注
This is a 4 page summary of our paper "Topology of Moduli Spaces of Free Group Representations in Real Reductive Groups" (arXiv:1403.3603), it was accepted to appear in the Proceedings of the 2014 meeting of the Portuguese Society of Mathematics