Twisted quiver bundles over almost complex manifolds |
| |
| Affiliation: | 1. Department of Mathematics, Zhejiang University, Hangzhou 310027, Zhejiang, PR China;2. Mathematics Section, Abdus Salam International Centre for Theoretic Physics, Strada Costiera, 11, 34014 Trieste, Italy;1. Dep. Matemática-IMAS, FCEyN-UBA, Ciudad Universitaria Pab 1, 1428 Buenos Aires, Argentina;2. Centro de Matemática, Facultad de Ciencias, Universidad de la República, Iguá 4225, 11400 Montevideo, Uruguay;1. Institut de recherche en mathématique et physique, Université catholique de Louvain, Chemin du Cyclotron 2, B 1348 Louvain-la-Neuve, Belgique;2. Dipartimento di matematica, Università degli studi di Milano, Via C. Saldini 50, 20133 Milano, Italy;3. Dipartimento di matematica e informatica, Università degli studi di Palermo, Via Archirafi 34, 90123 Palermo, Italy;4. Department of Mathematics and Statistics, University of Ottawa, 150 Louis-Pasteur, Ottawa, Ontario, K1N 6N5, Canada |
| |
| Abstract: | In this paper, we study twisted quiver bundle over general almost complex manifolds. A twisted quiver bundle is a set of J-holomorphic vector bundles over an almost complex manifold, labelled by the vertices of a quiver, linked by a set of morphisms twisted by a fixed collection of J-holomorphic vector bundles, labelled by the arrows. We prove a Hitchin–Kobayashi correspondence for twisted quiver bundles over a compact almost Hermitian regularized manifold, relating the existence of solutions to certain gauge equations to an appropriate notion of stability for the corresponding quivers. This result can be seen as a generalization of that in [2], [9]. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
