6 citations · 19 across the 13 of their papers we have counts for
15 papers
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…
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…
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}_1…
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…
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…
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…
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…
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…
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…
Symplectic reduction along a submanifold
Peter Crooks, Maxence Mayrand
We introduce the process of symplectic reduction along a submanifold as a uniform approach to taking quotients in symplectic geometry. This construction holds in the categories of…
Hyperkahler metrics near Lagrangian submanifolds and symplectic groupoids
Maxence Mayrand
The first part of this paper is a generalization of the Feix-Kaledin theorem on the existence of a hyperkahler metric on a neighbourhood of the zero section of the cotangent bundle…
Kempf-Ness type theorems and Nahm equations
Maxence Mayrand
We prove a version of the affine Kempf-Ness theorem for non-algebraic symplectic structures and shifted moment maps, and use it to describe hyperkahler quotients of T*G, where G is…
Stratification of singular hyperkahler quotients
Maxence Mayrand
Hyperkahler quotients by non-free actions are typically highly singular, but are remarkably still partitioned into smooth hyperkahler manifolds. We show that these partitions are t…
Stratified hyperkahler spaces from semisimple Lie algebras
Maxence Mayrand
We study singular hyperkahler quotients of the cotangent bundle of a complex semisimple Lie group as stratified spaces whose strata are hyperkahler. We focus on one particular case…
Particle Motion in Monopoles and Geodesics on Cones
Maxence Mayrand
The equations of motion of a charged particle in the field of Yang's monopole in 5-dimensional Euclidean space are derived by applying the Kaluza-Klein formalism t…