A note on the Wehrheim-Woodward category | Zendy

Alan Weinstein | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

A note on the Wehrheim-Woodward category

Author(s) -

Alan Weinstein

Publication year - 2011

Publication title -

the journal of geometric mechanics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.511

H-Index - 17

eISSN - 1941-4897

pISSN - 1941-4889

DOI - 10.3934/jgm.2011.3.507

Subject(s) - morphism , mathematics , composition (language) , pure mathematics , equivalence (formal languages) , class (philosophy) , symplectic geometry , sequence (biology) , transversality , algebra over a field , discrete mathematics , computer science , linguistics , artificial intelligence , philosophy , biology , genetics

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research