The Wehrheim-Woodward Category of Linear Canonical Relations between $G$-Spaces
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916484826005504 |
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| author | Weinstein, Alan |
| author_facet | Weinstein, Alan |
| contents | We extend the work in a previous paper with David Li-Bland (arXiv:1401.7302) to construct the Wehrheim-Woodward category WW($G\mathbf{SLREL}$) of equivariant linear canonical relations between linear symplectic $G$-spaces for a compact group $G$. When $G$ is the trivial group, this reduces to the previous result that the morphisms in WW($\mathbf{SLREL}$) may be identified with pairs $(L,k)$ consisting of a linear canonical relation and a nonnegative integer. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_06363 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Wehrheim-Woodward Category of Linear Canonical Relations between $G$-Spaces Weinstein, Alan Symplectic Geometry Category Theory 53D05 (Primary), 18F99(Secondary) We extend the work in a previous paper with David Li-Bland (arXiv:1401.7302) to construct the Wehrheim-Woodward category WW($G\mathbf{SLREL}$) of equivariant linear canonical relations between linear symplectic $G$-spaces for a compact group $G$. When $G$ is the trivial group, this reduces to the previous result that the morphisms in WW($\mathbf{SLREL}$) may be identified with pairs $(L,k)$ consisting of a linear canonical relation and a nonnegative integer. |
| title | The Wehrheim-Woodward Category of Linear Canonical Relations between $G$-Spaces |
| topic | Symplectic Geometry Category Theory 53D05 (Primary), 18F99(Secondary) |
| url | https://arxiv.org/abs/2408.06363 |