Circle actions, positive scalar curvature and higher genera

圆动作、正标量曲率和更高的属

• 批准号: 258606408
• 负责人: Professor Dr. Bernhard Hanke
• 金额: --
• 依托单位: Institut für Mathematik
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2014
• 资助国家: 德国
• 起止时间: 2013-12-31 至 2016-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/258606408?language=en
• 关键词: Circle; actions; positive; scalar; curvature

This is a project in the field of geometry and topology. The goal is a classification of closed smooth manifolds that admit both smooth circle actions and Riemannian metrics of positive scalar curvature, including the cases of isometric actions and actions not compatible with the metric. The investigation will be based on topological, geometric and index theoretic methods.

这是一个几何学和拓扑学领域的项目。目标是对闭光滑流形进行分类，它既允许光滑圆作用，也允许具有正标量曲率的黎曼度量，包括等距作用和与度量不相容的作用的情况。调查将基于拓扑学、几何学和指数理论方法。

项目成果

Torus Orbifolds, Slice-Maximal Torus Actions, and Rational Ellipticity

环面轨道折叠、切片最大环面动作和有理椭圆度

• DOI: 10.1093/imrn/rnx064
• 发表时间: 2017
• 期刊: International Mathematics Research Notices
• 影响因子: 1
• 作者: F. Galaz-García;M. Kerin;M. Radeschi;M. Wiemeler
• 通讯作者: M. Wiemeler

Bordism of elementary abelian groups via inessential Brown–Peterson homology

• DOI: 10.1112/jtopol/jtw009
• 发表时间: 2015-03
• 期刊: Journal of Topology
• 影响因子: 1.1
• 作者: B. Hanke