3 papers
math-ph2026
Q-Manifolds and Sigma Models
Noriaki Ikeda
Recent developments of Batalin-Vilkovisky (BV) formalism and related geometry are reviewed. Mathematical structures of BV formalism are summarized as a Q-manifold and a QP-manifold…
math.SG2024
Reduction of Poisson manifolds with Hamiltonian Lie algebroids
Yuji Hirota, Noriaki Ikeda
Reduction theorem for Poisson manifolds with Hamiltonian Lie algebroids is presented. The notion of compatibility of a momentum section is introduced to the category of Hamiltonian…
math.SG2024
Comomentum sections and Poisson maps in Hamiltonian Lie algebroids
Yuji Hirota, Noriaki Ikeda
In a Hamiltonian Lie algebroid over a pre-symplectic manifold and over a Poisson manifold, we introduce a map corresponding to a comomentum map, called a comomentum section. We sho…