The Wehrheim-Woodward category of linear canonical relations between G-spaces

Abstract

We extend the work in a previous paper with David Li-Bland to construct the Wehrheim-Woodward category WW(GSLREL) 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(SLREL) may be identified with pairs (L,k) consisting of a linear canonical relation and a nonnegative integer.