6 citations · 11 across the 4 of their papers we have counts for
7 papers
The vortex equation on affine manifolds
Indranil Biswas, John Loftin, Matthias Stemmler
Let M be a compact connected special affine manifold equipped with an affine Gauduchon metric. We show that a pair (E, ϕ), consisting of a flat vector bundle E over M and a flat no…
Affine Yang-Mills-Higgs metrics
Indranil Biswas, John Loftin, Matthias Stemmler
Let (E, φ) be a flat Higgs bundle on a compact special affine manifold M equipped with an affine Gauduchon metric. We prove that (E, φ) is polystable if and only if it admits an af…
Stability and Hermitian-Einstein metrics for vector bundles on framed manifolds
Matthias Stemmler
We adapt the notions of stability of holomorphic vector bundles in the sense of Mumford-Takemoto and Hermitian-Einstein metrics in holomorphic vector bundles for canonically polari…
Existence of approximate Hermitian-Einstein structures on semistable principal bundles
Indranil Biswas, Adam Jacob, Matthias Stemmler
Let E_G be a principal G-bundle over a compact connected Kähler manifold, where G is a connected reductive complex linear algebraic group. We show that E_G is semistable if and onl…
Hermitian-Einstein connections on polystable orthogonal and symplectic parabolic Higgs bundles
Indranil Biswas, Matthias Stemmler
Let X be a smooth complex projective curve and S a finite subset of X. We show that an orthogonal or symplectic parabolic Higgs bundle on X with parabolic structure over S admits a…
Vortex equation and reflexive sheaves
Indranil Biswas, Matthias Stemmler
It is known that given a stable holomorphic pair , where is a holomorphic vector bundle on a compact Kähler manifold and is a holomorphic section of , the ve…