Semantic Scholar Open Access 2013 3 sitasi

Semistability of Principal Bundles on a Kähler Manifold with a Non-Connected Structure Group

I. Biswas T. G'omez

Lihat Sumber DOI

Abstrak

We investigate principal $G$-bundles on a compact K\"ahler manifold, where $G$ is a complex algebraic group such that the connected component of it containing the identity element is reductive. Defining (semi)stability of such bundles, it is shown that a principal $G$-bundle $E_G$ admits an Einstein-Hermitian connection if and only if $E_G$ is polystable. We give an equivalent formulation of the (semi)stability condition. A question is to compare this definition with that of math.AG/0506511.

Topik & Kata Kunci

Mathematics

Penulis (2)

I. Biswas

T. G'omez

Format Sitasi

APA MLA BibTeX

Biswas, I., G'omez, T. (2013). Semistability of Principal Bundles on a Kähler Manifold with a Non-Connected Structure Group. https://doi.org/10.3842/SIGMA.2014.013

Akses Cepat

Lihat di Sumber doi.org/10.3842/SIGMA.2014.013

Informasi Jurnal

Tahun Terbit: 2013
Bahasa: en
Total Sitasi: 3×
Sumber Database: Semantic Scholar
DOI: 10.3842/SIGMA.2014.013
Akses: Open Access ✓