A Kobayashi-Hitchin correspondence for I-+/--holomorphic bundles

作者：Hu Shengda; Moraru Ruxandra^*; Seyyedali Reza

来源：Advances in Mathematics, 2016, 287: 519-566.

DOI：10.1016/j.aim.2015.09.027

• Hermitian manifolds
• Vector bundles
• Stability
• Hermitian-Einstein metrics
• Kobayashi-Hitchin correspondence

In this paper, we introduce the notions of alpha-Hermitian-Einstein metric and alpha-stability for I-+/--holomorphic vector bundles on bi-Hermitian manifolds. Moreover, we establish a Kobayashi-Hitchin correspondence for I-+/--holomorphic vector bundles on bi-Hermitian manifolds. Examples of such vector bundles include generalized holomorphic bundles on generalized Kahler manifolds. We also show that alpha-stability of a vector bundle, in this sense, can depend on the parameter a.

• 出版日期2016-1-10