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| Summary: | 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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| ISSN: | 1815-0659 |