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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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← all fields·2 papers on “knot theory” in Geometric Topology · 1 week

A combinatorial approach to obstructing left-orderability of Dehn fillingsmath.GT

New property helps show many knot fillings are not left-orderable.

problem Non-left-orderability of knot groups after Dehn filling.

method Introducing conjugate-slope property to study knot groups.

result The conjugate-slope property implies non-left-orderability of many knot fillings.

knot theory Dehn filling left-orderability fundamental group meridian

2026-07-17abs ↗pdf ↗

Knotted surfaces with simply-connected complementsmath.GT

Study knotted surfaces in simply-connected 4-manifolds with trivial boundary.

problem Locally flat, compact, genus g surfaces with boundary a fixed knot in simply-connected 4-manifolds with boundary the 3-sphere.

method Analyzes homology and isotopy of surfaces with trivial fundamental group complements.

result Homologous surfaces are topologically ambiently isotopic rel. boundary.

knot theory 4-manifolds fundamental group ambient isotopy homology

2026-07-16abs ↗pdf ↗