{"title":"Equivariant formality of isotropic torus actions","authors":"Jeffrey D. Carlson","doi":"10.1007/s40062-018-0207-5","DOIUrl":null,"url":null,"abstract":"<p>Considering the potential equivariant formality of the left action of a connected Lie group <i>K</i> on the homogeneous space <i>G</i>?/?<i>K</i>, we arrive through a sequence of reductions at the case <i>G</i> is compact and simply-connected and <i>K</i> is a torus. We then classify all pairs (<i>G</i>,?<i>S</i>) such that <i>G</i> is compact connected Lie and the embedded circular subgroup <i>S</i> acts equivariantly formally on <i>G</i>?/?<i>S</i>. In the process we provide what seems to be the first published proof of the structure (known to Leray and Koszul) of the cohomology rings</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40062-018-0207-5","citationCount":"7","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s40062-018-0207-5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 7
Abstract
Considering the potential equivariant formality of the left action of a connected Lie group K on the homogeneous space G?/?K, we arrive through a sequence of reductions at the case G is compact and simply-connected and K is a torus. We then classify all pairs (G,?S) such that G is compact connected Lie and the embedded circular subgroup S acts equivariantly formally on G?/?S. In the process we provide what seems to be the first published proof of the structure (known to Leray and Koszul) of the cohomology rings
分享
京公网安备 11010802042870号
京ICP备2023020795号-1
求助内容：
应助结果提醒方式：
扫码关注我们
