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arXiv · 2408.06363

The Wehrheim-Woodward Category of Linear Canonical Relations between $G$-Spaces

Alan Weinstein
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Abstract

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.

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Alan Weinstein. 2024-07-26. The Wehrheim-Woodward Category of Linear Canonical Relations between $G$-Spaces. https://doi.org/10.3842/sigma.2024.101

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