19 citations · 69 across the 21 of their papers we have counts for
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math.DG2013
Strong homotopy Lie algebras, homotopy Poisson manifolds and Courant algebroids
Honglei Lang, Yunhe Sheng, Xiaomeng Xu
We study Maurer-Cartan elements on homotopy Poisson manifolds of degree . They unify many twisted or homotopy structures in Poisson geometry and mathematical physics, such as tw…
math-ph2013★ 7 cited
Current algebras from QP-manifolds in general dimensions
Noriaki Ikeda, Xiaomeng Xu
We propose a new unified formulation of the current algebra theory in general dimensions in terms of supergeometry. We take a QP-manifold, i.e. a differential graded (dg) symplecti…
math.SG2013★ 3 cited
Canonical Functions and Differential Graded Symplectic Pairs in Supergeometry and AKSZ Sigma Models with Boundary
Noriaki Ikeda, Xiaomeng Xu
Consistent boundary conditions for Alexandrov-Kontsevich-Schwartz-Zaboronsky (AKSZ) sigma models and the corresponding boundary theories are analyzed. As their mathematical structu…