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math.SG2026
Integration and quantization of 1-shifted coisotropics
Yassine Ait Mohamed, Maxence Mayrand
To quantize the reduction of a coisotropic submanifold of a Poisson manifold, Cattaneo and Felder constructed a homotopy Poisson algebra together with a deformation quantization. I…
math.AG2026
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…