Basic forms and orbit spaces: A diffeological approach

Yael Karshon; Jordan Watts

doi:10.3842/SIGMA.2016.026

Basic forms and orbit spaces: A diffeological approach

Yael Karshon, Jordan Watts

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

If a Lie group acts on a manifold freely and properly, pulling back by the quotient map gives an isomorphism between the differential forms on the quotient manifold and the basic differential forms upstairs. We show that this result remains true for actions that are not necessarily free nor proper, as long as the identity component acts properly, where on the quotient space we take differential forms in the diffeological sense.

Original language	English
Article number	026
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	12
DOIs	https://doi.org/10.3842/SIGMA.2016.026
State	Published - 8 Mar 2016
Externally published	Yes

Keywords

Basic differential forms
Diffeology
Lie group actions
Orbit space

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10.3842/SIGMA.2016.026

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Basic forms and orbit spaces: A diffeological approach

Abstract

Keywords

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