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Topology/Geometry Seminar

A 2-category of hamiltonian manifolds

Guillem Cazassus (Indiana University)

Location:  Room 005
Date & time: Tuesday, 26 February 2019 at 3:30PM - 4:30PM

Abstract: We will construct a strict 2-category whose objects are Lie groups, 1-morphism spaces are generated by hamiltonian manifolds, and 2-morphism spaces are generated by equivariant lagrangian correspondences. Our construction involves the completion of a partial 2-category, which we will define. This is an attempt of extending Wehrheim and Woodward's "Floer Field Theory" down to dimension 1. Ultimately, our category should be promoted to a 3-category, and one should be able to define an extended field theory in dimensions 1+1+1+1 that should incorporate Donaldson's polynomials.

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