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A two-category of Hamiltonian manifolds, and a (1+1+1) field theory

Abstract:

We define an extended field theory in dimensions 1+1+1, that takes the form of a `quasi 2-functor' with values in a strict 2-category Hamˆ, defined as the `completion of a partial 2-category' Ham, notions which we define. Our construction extends Wehrheim and Woodward's Floer Field theory, and is inspired by Manolescu and Woodward's construction of symplectic instanton homology. It can be seen, in dimensions 1+1, as a real analog of a construction by Moore and Tachikawa.
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Not published

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Language:
English
Keywords:
Pubs id:
1239220
Local pid:
pubs:1239220
Deposit date:
2022-02-11

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