We develop an iterative method for finding solutions to the hermitian Yang-Mills equation on stable holomorphic vector bundles, following ideas recently developed by Donaldson. As illustrations, we construct numerically the hermitian Einstein metrics on the tangent bundle and a rank three vector bundle on P^2. In addition, we find a hermitian Yang-Mills connection on a stable rank three vector bundle on the Fermat quintic
For a parameter lambda > 0, we study a type of vortex equations, which generalize the well-known ...
This work is dedicated to Professor Vyacheslav Shokurov on the occasion of his 70th birthday. The th...
Consider a vector bundle over a Kähler manifold which admits a Hermitian Yang-Mills connection. We s...
A numerical algorithm is presented for explicitly computing the gauge connection on slope-stable hol...
by Leung Wai-Man Raymond.Thesis (M.Phil.)--Chinese University of Hong Kong, 1992.Includes bibliograp...
We consider a dimensional reduction of the (deformed) Hermitian Yang-Mills condition on $S^1$-invari...
We study the use of machine learning for finding numerical hermitian Yang–Mills connections on line ...
We study the use of machine learning for finding numerical hermitian Yang–Mills connections on line ...
In this thesis, we study convergence results of certain non-linear geometric flows on vector bundles...
We review the notions of (weak) Hermitian-Yang-Mills structure and approximate Hermitian-Yang-Mills ...
In this thesis, we study convergence results of certain non-linear geometric flows on vector bundles...
A Hermitian, quaternionic metric is constructed in which the real part is the usual metric of a curv...
The notions of stability of holomorphic vector bundles in the sense of Mumford-Takemoto and Hermitia...
The notions of stability of holomorphic vector bundles in the sense of Mumford-Takemoto and Hermitia...
We build a canonical family {D_s} of Hermitian connections in a Hermitian CR-holomorphic vector bund...
For a parameter lambda > 0, we study a type of vortex equations, which generalize the well-known ...
This work is dedicated to Professor Vyacheslav Shokurov on the occasion of his 70th birthday. The th...
Consider a vector bundle over a Kähler manifold which admits a Hermitian Yang-Mills connection. We s...
A numerical algorithm is presented for explicitly computing the gauge connection on slope-stable hol...
by Leung Wai-Man Raymond.Thesis (M.Phil.)--Chinese University of Hong Kong, 1992.Includes bibliograp...
We consider a dimensional reduction of the (deformed) Hermitian Yang-Mills condition on $S^1$-invari...
We study the use of machine learning for finding numerical hermitian Yang–Mills connections on line ...
We study the use of machine learning for finding numerical hermitian Yang–Mills connections on line ...
In this thesis, we study convergence results of certain non-linear geometric flows on vector bundles...
We review the notions of (weak) Hermitian-Yang-Mills structure and approximate Hermitian-Yang-Mills ...
In this thesis, we study convergence results of certain non-linear geometric flows on vector bundles...
A Hermitian, quaternionic metric is constructed in which the real part is the usual metric of a curv...
The notions of stability of holomorphic vector bundles in the sense of Mumford-Takemoto and Hermitia...
The notions of stability of holomorphic vector bundles in the sense of Mumford-Takemoto and Hermitia...
We build a canonical family {D_s} of Hermitian connections in a Hermitian CR-holomorphic vector bund...
For a parameter lambda > 0, we study a type of vortex equations, which generalize the well-known ...
This work is dedicated to Professor Vyacheslav Shokurov on the occasion of his 70th birthday. The th...
Consider a vector bundle over a Kähler manifold which admits a Hermitian Yang-Mills connection. We s...