6 papers · 1 filter
Reduction along strong Dirac maps
Ana Balibanu, Maxence Mayrand
We develop a general procedure for reduction along strong Dirac maps, which are a broad generalization of Poisson momentum maps. We recover a large number of familiar constructions…
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…
Grothendieck-Springer resolutions and TQFTs
Peter Crooks, Maxence Mayrand
The Moore-Tachikawa conjecture is that each connected complex semisimple group determines a two-dimensional TQFT in a category of Hamiltonian symplectic varieties. While it wou…
Deformations of quasi-Hamiltonian spaces
Jean-Philippe Burelle, Mohamed Moussadek Maiza, Maxence Mayrand
We introduce a notion of deformations of quasi-Hamiltonian -spaces to Hamiltonian -spaces and provide several examples. In particular, we show that the double of…
Shifted coisotropic structures for differentiable stacks
Maxence Mayrand
We introduce a notion of coisotropics on 1-shifted symplectic Lie groupoids (i.e. quasi-symplectic groupoids) using twisted Dirac structures and show that it satisfies properties a…
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…