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Symmetries on manifolds, deformations and rational homotopy: a survey

Research output: Contribution to book/anthology/report/conference proceeding › Book chapter › Research

Abstract

The question whether every manifold admits a non-trivial group action has been answered to the negative already back in 1971. Several authors have given classes of examples of manifolds, on which no such "symmetry" can exist. This survey describes a method showing the existence of symmetries on certain classes of simply-connected manifolds. It aims to explain a blend of methods from transformation group theory, deformation theory, rational homotopy and rational surgery.
Original languageEnglish
Title of host publicationCurrent Trends in Transformation Groups
PublisherKluwer Academic Publishers
Publication date2002
Publication statusPublished - 2002
SeriesK-monographs in Mathematics
Number7

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