3 papers
math.QA2026
Toward Shifted symplectic Chiralization: Deformation of Courant Algebroids
Wenda Fang, Noriaki Ikeda
We study the chiralization of Poisson--Lie theory through graded symplectic geometry. We compare Courant deformations and classical - and -matrix constructions, obtaining int…
math.QA2026
Shifted symplectic structures and Poisson vertex algebra
Wenda Fang
We identify Poisson vertex algebra (PVA) Hamiltonian structures on arc spaces with Maurer--Cartan data arising from degree- graded symplectic geometry. Let be a smooth schem…
math-ph2023
Generalized AKS scheme of integrability via vertex algebra
Wenda Fang
In this paper, we define and study the classical -matrix for vertex Lie algebra, based on which we propose to construct a new vertex Lie algebra. We give a systematic way to con…