On the Toral Rank Conjecture and Variants of Equivariant Formality

We investigate the topological consequences of actions of compact connected Lie groups. Our focus lies on the \emph{Toral Rank Conjecture}, which states that a suitable space $X$ with an almost free $T^r$-action has to satisfy $\dim H^*(X;\mathbb{Q})\geq 2^r$. We investigate various refinements of f...

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Bibliographic Details

Main Author:	Zoller, Leopold
Contributors:	Goertsches, Oliver (Prof. Dr.) (Thesis advisor)
Format:	Doctoral Thesis
Language:	English
Published:	Philipps-Universität Marburg 2019
Subjects:	group action torus Gruppenwirkung Formalität Kohomology cohomology Toral Rank Conjecture formality Mathematik Torus Mathematics
Online Access:	PDF Full Text
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