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A note on the Wehrheim-Woodward category

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arxiv 1012.0105 v2 pith:JGAZ4NQS submitted 2010-12-01 math.SG math.CT

Alan Weinstein This is my paper · ORCID
classification math.SGmath.CT
keywords categoryrelationscanonicalcompositionmorphismnoteassumptionsclass
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Wehrheim and Woodward have shown how to embed all the canonical relations between symplectic manifolds into a category in which the composition is the usual one when transversality and embedding assumptions are satisfied. A morphism in their category is an equivalence class of composable sequences of canonical relations, with composition given by concatenation. In this note, we show that every such morphism is represented by a sequence consisting of just two relations, one of them a reduction and the other a coreduction.

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