Kutzschebauch, Frank; Lárusson, Finnur; Schwarz, Gerald W (2022). Equivariant Oka theory: survey of recent progress. Complex analysis and its synergies, 8(3), p. 15. Springer 10.1007/s40627-022-00103-5
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We survey recent work, published since 2015, on equivariant Oka theory. The main results described in the survey are as follows. Homotopy principles for equivariant isomorphisms of Stein manifolds on which a reductive complex Lie group G acts. Applications to the linearisation problem. A parametric Oka principle for sections of a bundle E of homogeneous spaces for a group bundle , all over a reduced Stein space X with compatible actions of a reductive complex group on E, , and X. Application to the classification of generalised principal bundles with a group action. Finally, an equivariant version of Gromov's Oka principle based on a notion of a G-manifold being G-Oka.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Kutzschebauch, Werner Frank |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
2197-120X |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Pubmed Import |
Date Deposited: |
31 Aug 2022 15:37 |
Last Modified: |
05 Dec 2022 16:23 |
Publisher DOI: |
10.1007/s40627-022-00103-5 |
PubMed ID: |
36034193 |
Uncontrolled Keywords: |
Elliptic manifold Geometric invariant theory Lie group Linearisation problem Oka manifold Oka principle Oka theory Principal bundle Reductive group |
BORIS DOI: |
10.48350/172486 |
URI: |
https://boris.unibe.ch/id/eprint/172486 |
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