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SIGMA 20 (2024), 101, 6 pages arXiv:2408.06363
https://doi.org/10.3842/SIGMA.2024.101
The Wehrheim-Woodward Category of Linear Canonical Relations between $G$-Spaces
Alan Weinstein ab
a) Department of Mathematics, University of California, Berkeley, CA 94720, USA
b) Department of Mathematics, Stanford University, Stanford, CA 94305, USA
Received August 18, 2024, in final form November 15, 2024; Published online November 18, 2024
Abstract
We extend the work in a previous paper with David Li-Bland 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.
Key words: symplectic vector space; canonical relation; rigid monoidal category; highly selective category.
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References
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