10 citations · 90 across the 29 of their papers we have counts for
30 papers
Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras
Sofiane Bouarroudj, Quentin Ehret, Yoshiaki Maeda
In this paper, we present a method of symplectic double extensions for restricted quasi-Frobenius Lie superalgebras. Certain cocycles in the restricted cohomology represent obstruc…
Double and Lagrangian extensions for quasi-Frobenius Lie superalgebras
Sofiane Bouarroudj, Yoshiaki Maeda
A Lie superalgebra is called quasi-Frobenius if it admits a closed anti-symmetric non-degenerate bilinear form. We study the notion of double extensions of quasi-Frobenius Lie supe…
The Geometry of Loop Spaces III: Isometry Groups of Contact Manifolds
Satoshi Egi, Yoshiaki Maeda, Steven Rosenberg
Let be a circle bundle with first Chern class over a closed -dimensional integral symplectic manifold . Equivalently, is a closed…
Non-formal star-exponential on contracted one-sheeted hyperboloids
Pierre Bieliavsky, Axel de Goursac, Yoshiaki Maeda +1
In this paper, we exhibit the non-formal star-exponential of the Lie group SL(2,R) realized geometrically on the curvature contraction of its one-sheeted hyperboloid orbits endowed…
The Geometry of Loop Spaces II: Characteristic Classes
Yoshiaki Maeda, Steven Rosenberg, Fabián Torres-Ardila
Using the Wodzicki residue, we build Wodzicki-Chern-Simons (WCS) classes in associated to the residue Chern character on the loop space of a Riemannian manifold…
The Geometry of Loop Spaces I: -Riemannian Metrics
Yoshiaki Maeda, Steven Rosenberg, Fabián Torres-Ardila
A Riemannian metric on a manifold M induces a family of Riemannian metrics on the loop space LM depending on a Sobolev space parameter s. We compute the connection forms of these m…