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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·3 papers on “moduli spaces” 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 ↗

Białynicki-Birula Decompositions of Nakajima Quiver Varieties, Quiver Chains and Star-Shaped Quiversmath.AG

The paper studies the geometry of Nakajima quiver varieties and their decompositions.

problem Understanding the geometry of Nakajima quiver varieties and their decompositions.

method Investigates the Białynicki--Birula decomposition of Nakajima quiver varieties, describing fixed points in terms of representations with relations of auxiliary quivers.

result Computes the motivic decomposition of Nakajima quiver varieties in terms of quiver-chain moduli spaces.

Nakajima quiver varieties Białynicki--Birula decomposition fixed points representations with relations moduli spaces

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 ↗