A note on the Wehrheim-Woodward category

Alan Weinstein

doi:10.3934/jgm.2011.3.507

Article Contents

2011, Volume 3, Issue 4: 507-515. Doi: 10.3934/jgm.2011.3.507 open access

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A note on the Wehrheim-Woodward category

Alan Weinstein^1,

1.
Department of Mathematics, University of California, Berkeley, CA 94720

Received: November 30, 2010

Revised: February 28, 2011

Published: November 2011

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Abstract

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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Mathematics Subject Classification: Primary: 53D12; Secondary: 18B10.

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References

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