The Wehrheim-Woodward Category of Linear Canonical Relations between -Spaces
We extend the work in a previous paper with David Li-Bland to construct the Wehrheim-Woodward category WW(SLREL) of equivariant linear canonical relations between linear symplectic -spaces for a compact group . When is the trivial group, this reduces to the previous result that the morphisms in WW(...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2024 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2024
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212791 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The Wehrheim-Woodward Category of Linear Canonical Relations between -Spaces. Alan Weinstein. SIGMA 20 (2024), 101, 6 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862749545725689856 |
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| author | Weinstein, Alan |
| author_facet | Weinstein, Alan |
| citation_txt | The Wehrheim-Woodward Category of Linear Canonical Relations between -Spaces. Alan Weinstein. SIGMA 20 (2024), 101, 6 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We extend the work in a previous paper with David Li-Bland to construct the Wehrheim-Woodward category WW(SLREL) of equivariant linear canonical relations between linear symplectic -spaces for a compact group . When is the trivial group, this reduces to the previous result that the morphisms in WW(SLREL) may be identified with pairs (, ) consisting of a linear canonical relation and a nonnegative integer.
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| first_indexed | 2026-03-21T18:29:06Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212791 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T18:29:06Z |
| publishDate | 2024 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Weinstein, Alan 2026-02-11T10:40:20Z 2024 The Wehrheim-Woodward Category of Linear Canonical Relations between -Spaces. Alan Weinstein. SIGMA 20 (2024), 101, 6 pages 1815-0659 2020 Mathematics Subject Classification: 53D05; 18F99 arXiv:2408.06363 https://nasplib.isofts.kiev.ua/handle/123456789/212791 https://doi.org/10.3842/SIGMA.2024.101 We extend the work in a previous paper with David Li-Bland to construct the Wehrheim-Woodward category WW(SLREL) of equivariant linear canonical relations between linear symplectic -spaces for a compact group . When is the trivial group, this reduces to the previous result that the morphisms in WW(SLREL) may be identified with pairs (, ) consisting of a linear canonical relation and a nonnegative integer. A grant from UC Berkeley partially supported the author. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Wehrheim-Woodward Category of Linear Canonical Relations between -Spaces Article published earlier |
| spellingShingle | The Wehrheim-Woodward Category of Linear Canonical Relations between -Spaces Weinstein, Alan |
| title | The Wehrheim-Woodward Category of Linear Canonical Relations between -Spaces |
| title_full | The Wehrheim-Woodward Category of Linear Canonical Relations between -Spaces |
| title_fullStr | The Wehrheim-Woodward Category of Linear Canonical Relations between -Spaces |
| title_full_unstemmed | The Wehrheim-Woodward Category of Linear Canonical Relations between -Spaces |
| title_short | The Wehrheim-Woodward Category of Linear Canonical Relations between -Spaces |
| title_sort | wehrheim-woodward category of linear canonical relations between -spaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212791 |
| work_keys_str_mv | AT weinsteinalan thewehrheimwoodwardcategoryoflinearcanonicalrelationsbetweenspaces AT weinsteinalan wehrheimwoodwardcategoryoflinearcanonicalrelationsbetweenspaces |