7 papers
Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes
Maxence Mayrand, Baptiste Royer
We study a class of quantum error-correcting codes through the geometry of complex abelian varieties. These codes, introduced by Gottesman--Kitaev--Preskill, are built from symplec…
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…
Lax-Kirchhoff moduli spaces and Hamiltonian 2D TQFT
Mohamed Moussadek Maiza, Maxence Mayrand
We introduce the Lax-Kirchhoff moduli space associated with a finite quiver and a compact connected Lie group . On each oriented edge we consider the Lax equation $\dot{A}_…
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…