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math.SG2024
The Moore-Tachikawa conjecture via shifted symplectic geometry
Peter Crooks, Maxence Mayrand
We use shifted symplectic geometry to construct the Moore-Tachikawa topological quantum field theories (TQFTs) in a category of Hamiltonian schemes. Our new and overarching insight…
math.SG2024
Scheme-theoretic coisotropic reduction
Peter Crooks, Maxence Mayrand
We develop an affine scheme-theoretic version of Hamiltonian reduction by symplectic groupoids. It works over or , and is formulated for an aff…