Generalized Kahler geometry and gerbes

TL;DR

This paper introduces biholomorphic gerbes with connection as a new geometric framework for generalized Kahler geometry, analogous to holomorphic line bundles in Kahler geometry, and explores their relation to the generalized Kahler potential.

Contribution

It presents the concept of biholomorphic gerbes with connection and connects them to the structure of generalized Kahler geometry, providing a novel geometric perspective.

Findings

Biholomorphic gerbes with connection are introduced as a natural framework.

The relation between gerbes and the generalized Kahler potential is analyzed.

A geometric analogy to holomorphic line bundles in Kahler geometry is established.

Abstract

We introduce and study the notion of a biholomorphic gerbe with connection. The biholomorphic gerbe provides a natural geometrical framework for generalized Kahler geometry in a manner analogous to the way a holomorphic line bundle is related to Kahler geometry. The relation between the gerbe and the generalized Kahler potential is discussed.