Symmetries in Generalized Kähler Geometry

Integrable Systems in Gauge Theory, Kähler Geometry and Super KP Hierarchy – Symmetries and Algebraic Point of View

Sigma Models, NS-fluxes and Generalized Kähler Geometry

A Diffusion Equation with Exponential Nonlinearity Recant Developments

The purpose of this paper is to analyze in detail a special nonlinear partial differential equation (nPDE) of the second order which is important in physical, chemical and technical applications. The present nPDE describes nonlinear diffusion and is of interest in several parts of physics, chemistry and engineering problems alike. Since nature is not linear intrinsically the nonlinear case is t...

Instantons, Poisson structures and generalized Kähler geometry

Using the idea of a generalized Kähler structure, we construct bihermitian metrics on CP2 and CP1×CP1, and show that any such structure on a compact 4-manifold M defines one on the moduli space of anti-self-dual connections on a fixed principal bundle over M . We highlight the role of holomorphic Poisson structures in all these constructions.

Reduction of Twisted Generalized Kähler Structure

We show that our earlierwork in [LT05] extends to the twisted case, that is, we defined a notion of moment map and reduction in both twisted generalized complex geometry and twisted generalized Kähler geometry. This is a short note to show that our results in our previously posted paper, Symmetries in generalized Kähler geometry [LT05], can be easily extended to the case of twisted generalized ...