On-device research index

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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← all fields·5 papers on “manifolds” in Geometric Topology · 1 month

Locally Euclidean Discretized Graph Configuration Spacesmath.GT

Classifies graph configuration spaces homeomorphic to manifolds.

problem Classifying graph configuration spaces homeomorphic to manifolds.

method Developed techniques to translate topological properties into graph theoretic ones.

result Extended Abrams' work to classify certain graph configuration spaces.

graph configuration spaces manifolds topology graph theory discretization

2026-07-09abs ↗pdf ↗

On the number of shared Dehn surgeries between two knotsmath.GT

The paper proves a theorem about shared Dehn surgeries between knots.

problem Understanding shared Dehn surgeries between distinct knots.

method Uses the JSJ decomposition of knot exteriors to provide an effective bound.

result Provides an effective bound on the maximal number of shared surgeries between knots.

Dehn surgery knots JSJ decomposition manifolds orientation-preserving homeomorphism

2026-07-08abs ↗pdf ↗

Dynamics and geometry of character varieties for surface groupsmath.GT

Research classifies geometric structures on manifolds using surface group representations.

problem Classifying geometric structures on manifolds related to surface group actions on character varieties.

method Surveying results on surface groups, focusing on compact and non-compact target groups, discussing various representations and their dynamics.

result Dichotomy in dynamics of character varieties based on compactness of target groups.

character varieties surface groups mapping class groups geometric structures manifolds

2026-07-07abs ↗pdf ↗

Actions of lattices in

S

-arithmetic groups on manifoldsmath.DS

Finite actions of lattices on manifolds proven for certain groups.

problem Finite actions of lattices on compact manifolds.

method Uses machinery from Brown, Fisher, and Hurtado.

result Finite actions proven for lattices in

p

-adic and

S

-arithmetic groups.

lattices actions manifolds finite p-adic

2026-07-01abs ↗pdf ↗

Topological Complexity and Finite Dominationmath.GT

Finite simplicial complexes dominate certain manifolds with a bounded number of simplices.

problem Understanding the finite domination of manifolds by simplicial complexes.

method Proving that a manifold can be dominated by the

n

-skeleton of a finite simplicial complex with a bounded number of simplices.

result The total number of simplices in the

n

-skeleton is bounded above by a constant depending only on

n

and the embolic volume of the manifold.

topological complexity finite domination simplicial complexes manifolds embolic volume

2026-06-29abs ↗pdf ↗