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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.

168,657 papers · 148 categories

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295988117 · May 202619922001200920172026
← all fields·5 papers on “stability” in Differential Geometry · 1 month
mm-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 mm-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 bundlesstabilityHermite-Einsteinmoduli spacescoherent subbundles
2026-07-19abs ↗pdf ↗
A note on the stability of surfaces along null cones under area-preserving variationsmath.DG

Study on stability of surfaces in null cones under area-preserving variations.

problem Investigating stability of spacelike cross sections of null cones.
method Area-preserving variations, Hawking energy analysis, spherical cross sections.
result Only round spheres are stable cross sections of the standard Minkowski lightcone.
StabilityNull conesArea-preserving variationsHawking energySpherical cross sections
2026-07-10abs ↗pdf ↗
On the Stability of Einstein Manifolds with Boundarymath.DG

Study stability of Einstein manifolds with boundary.

problem Stability of Einstein manifolds with geometric boundary conditions.
method Using Ricci flow and calculus of variations, analyze stability with respect to the Einstein-Hilbert action.
result Introduce a new subspace of tensors (TVg tensors) for stability condition due to boundary constraints.
Einstein manifoldsStabilityEinstein-Hilbert actionRicci flowGeometric boundary
2026-07-06abs ↗pdf ↗