3 papers
math.DG2025
The Geometry of Loop Spaces V: Fundamental Groups of Geometric Transformation Groups
Yoshiaki Maeda, Steven Rosenberg
We use differential forms on loop spaces to prove that the fundamental group of certain geometric transformation groups is infinite. Examples include both finite and infinite dimen…
math.DG2024
The Geometry of Loop Spaces IV: Closed Sasakian Manifolds
Yoshiaki Maeda, Steven Rosenberg
We prove that a closed regular -Sasakian manifold admits a family of non-isometric metrics such that , the fundamental gr…
math.DG2024
The Geometry of Loop Spaces II: Corrections
Yoshiaki Maeda, Steven Rosenberg, Fabián Torres-Ardila
This paper contains corrections to Madea, Rosenberg, Torres-Ardila, "The Geometry of Loop Spaces II: Characteristic Classes," Advances in Math. (287), 2016, 485-518. The main chang…