1 citations · 2 across the 4 of their papers we have counts for
5 papers
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…
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…
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…
Geometry of bundle-valued multisymplectic structures with Lie algebroids
Yuji Hirota, Noriaki Ikeda
We study multisymplectic structures taking values in vector bundles with connections from the viewpoint of the Hamiltonian symmetry. We introduce the notion of bundle-valued -pl…
Hamilton Lie algebroids over Dirac structures and sigma models
Noriaki Ikeda
We propose a Hamiltonian Lie algebroid and a momentum section over a Dirac structure as a generalization of a Hamiltonian Lie algebroid over a pre-symplectic manifold and one over…