Work

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

Year: 2024

Type: article

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.

Source: Symmetry Integrability and Geometry Methods and Applications

DOI: 10.3842/sigma.2024.101

Author: Alan Weinstein

Institutions: University of California, Berkeley, Stanford University

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404489414

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