Resonance varieties, Chen ranks and formality properties of finitely generated groups

Formality is a topological property that arises from the rational homotopy theory developed by Quillen and Sullivan in 70's. Roughly speaking, the rational homotopy type of a formal space is determined by its cohomology algebra. In this thesis, we explore the graded-formality, filtered-formalit...

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Online Access:http://hdl.handle.net/2047/D20213217