The Geometry of Loop Spaces II: Corrections

Fuente: arXiv
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Main Authors: Maeda, Yoshiaki, Rosenberg, Steven, Torres-Ardila, Fabián
Format: Preprint
Published: 2024
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author Maeda, Yoshiaki
Rosenberg, Steven
Torres-Ardila, Fabián
author_facet Maeda, Yoshiaki
Rosenberg, Steven
Torres-Ardila, Fabián
contents 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 change is that results about $π_1({\rm Diff}(M))$ are replaced by results about $π_1({\rm Isom}(M))$, where Diff$(M)$, Isom$(M)$ refer to the diffeomorphism and isometry group of the manifold $M$.
format Preprint
id arxiv_https___arxiv_org_abs_2405_00651
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The Geometry of Loop Spaces II: Corrections
Maeda, Yoshiaki
Rosenberg, Steven
Torres-Ardila, Fabián
Differential Geometry
58J28, 58J40
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 change is that results about $π_1({\rm Diff}(M))$ are replaced by results about $π_1({\rm Isom}(M))$, where Diff$(M)$, Isom$(M)$ refer to the diffeomorphism and isometry group of the manifold $M$.
title The Geometry of Loop Spaces II: Corrections
topic Differential Geometry
58J28, 58J40
url https://arxiv.org/abs/2405.00651