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.

168,742 papers · 148 categories

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← all fields·2 papers on “fundamental groups” in Geometric Topology · 1 month

Toroidal 3-manifolds have circularly orderable fundamental groupsmath.GT

Toroidal 3-manifolds have special group structures that can be shown through specific covers.

problem Characterizing the fundamental groups of toroidal 3-manifolds.

method Proving toroidal 3-manifolds have circularly-orderable fundamental groups by showing they admit finite cyclic covers with left-orderable fundamental groups.

result Toroidal 3-manifolds have circularly-orderable fundamental groups, which can be shown through specific covers.

toroidal 3-manifolds fundamental groups cyclic covers left-orderable co-orientable taut foliations

2026-07-12abs ↗pdf ↗

Two aspects of graph 3-manifold groupsmath.GT

Proves graph 3-manifold groups have two specific properties.

problem Understanding fundamental groups of graph 3-manifolds.

method Constructing sequences of covers to prove properties.

result Graph 3-manifold groups are virtually poly-free and in Lex family.

graph 3-manifolds fundamental groups virtually poly-free Lex family left-exactness

2026-07-05abs ↗pdf ↗