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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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← all fields·4 papers on “vector bundles” in Differential Geometry · 1 week

Connected components of real loci in moduli spaces of vector and Higgs bundles over a Klein surfacemath.AG

Study on real loci of moduli spaces of vector and Higgs bundles over Klein surfaces.

problem Determining connected components of real loci in moduli spaces of vector and Higgs bundles.

method Gauge-theoretic approach, using real structures and quaternionic vector bundles.

result Number of connected components of real loci can vary based on the base curve's real points and bundle properties.

moduli spaces vector bundles Higgs bundles Klein surfaces real loci

2026-07-22abs ↗pdf ↗

The deformed Vortex equations and equivariant stability conditionsmath.DG

Study higher rank deformed Hermitian-Yang-Mills equations for stable vector bundles.

problem Stability conditions for higher rank vector bundles over complex manifolds.

method Establish equivalence between dHYM equations and

Z

-stability.

result Equivalence between dHYM solutions and

Z

-stability for vortex type bundles.

deformed Hermitian-Yang-Mills equations vector bundles stability conditions equivariant holomorphic compact Riemann surface

2026-07-20abs ↗pdf ↗

The deformed Vortex equations and equivariant stability conditionsmath.DG

Study higher rank deformed Hermitian-Yang-Mills equations for stable vector bundles.

problem Stability conditions for higher rank vector bundles over complex manifolds.

method Establish equivalence between dHYM equations and

Z

-stability.

result Equivalence between dHYM solutions and

Z

-stability for vortex type bundles.

deformed Hermitian-Yang-Mills equations equivariant holomorphic vector bundles stability conditions compact Riemann surfaces algebraic geometry

2026-07-20abs ↗pdf ↗

m

-Positive Stability of Holomorphic Vector Bundles and Moduli Spacesmath.DG

New stability criteria for vector bundles linked to Hermite-Einstein geometry.

problem Stability of higher-rank vector bundles and their moduli spaces.

method Introducing

m

-positivity and a smooth function for coherent subbundles, linking to Hermite-Einstein geometry.

result Hermite-Einstein bundles are uniformly semi-stable, and new stability conditions are established.

vector bundles stability Hermite-Einstein moduli spaces coherent subbundles

2026-07-19abs ↗pdf ↗