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Basic Forms and Orbit Spaces: a Diffeological Approach
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,...
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Інститут математики НАН України
2016
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/147723 |
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irk-123456789-1477232019-02-16T01:24:54Z Basic Forms and Orbit Spaces: a Diffeological Approach Karshon, Y. Watts, J. 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. 2016 Article Basic Forms and Orbit Spaces: a Diffeological Approach / Y. Karshon, J. Watts // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 30 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 58D19; 57R99 DOI:10.3842/SIGMA.2016.026 http://dspace.nbuv.gov.ua/handle/123456789/147723 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
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DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Karshon, Y. Watts, J. |
| spellingShingle |
Karshon, Y. Watts, J. Basic Forms and Orbit Spaces: a Diffeological Approach Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Karshon, Y. Watts, J. |
| author_sort |
Karshon, Y. |
| title |
Basic Forms and Orbit Spaces: a Diffeological Approach |
| title_short |
Basic Forms and Orbit Spaces: a Diffeological Approach |
| title_full |
Basic Forms and Orbit Spaces: a Diffeological Approach |
| title_fullStr |
Basic Forms and Orbit Spaces: a Diffeological Approach |
| title_full_unstemmed |
Basic Forms and Orbit Spaces: a Diffeological Approach |
| title_sort |
basic forms and orbit spaces: a diffeological approach |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147723 |
| citation_txt |
Basic Forms and Orbit Spaces: a Diffeological Approach / Y. Karshon, J. Watts // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 30 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT karshony basicformsandorbitspacesadiffeologicalapproach AT wattsj basicformsandorbitspacesadiffeologicalapproach |
| first_indexed |
2023-05-20T17:28:08Z |
| last_indexed |
2023-05-20T17:28:08Z |
| _version_ |
1796153362898485248 |