Balance point and Stability of Vector Bundles Over a Projective Manifold

By Xiaowei Wang. 2002

56 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6e0743bd35cba0a38f570d5c23343dad8b2f94a6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Richard P. Thomas
2. Xiaowei Wang
3. Robert J. Berman
4. G'abor Sz'ekelyhidi
5. Yanir A. Rubinstein
6. Chi Li
7. Song Sun
8. S. Boucksom

In Geometry and Topology

1. Richard P. Thomas
2. Xiaowei Wang
3. G'abor Sz'ekelyhidi
4. Robert J. Berman
5. Yukinobu Toda
6. R. Pandharipande
7. T. Bridgeland
8. Chi Li

In Statistical and Nonlinear Physics

1. Richard P. Thomas
2. Xiaowei Wang

Citations in the corpus

• Notes on GIT and symplectic reduction for bundles and varieties (2005, background): “ with centre of masszero in su(N)∗) and asymptotics as r,N →∞. Proving conjectures of Donaldson [Do2], Wang shows that the existence of a balanced map is equivalent to the Gieseker polystability of E [Wa1]. Slope stable bundles (which are therefore Gieseker stable) admit balanced maps X →Gr for r ≫0”
• Moment Map, Futaki Invariant and Stability of Projective Manifolds (2004, background): “it inherits a natural symplectic form from the Fubini-Study K¨ ahler form on PH 0 (G (Nk − n, Nk +1 ), OG (d)) . Following [ W ], we may take another”