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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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4 results for “non-bi-orderable”

Non-bi-orderable one-relator groups without generalized torsionmath.GR

Study builds non-bi-orderable groups without generalized torsion.

problem Constructing non-bi-orderable groups without generalized torsion.

method Constructing specific one-relator groups.

result Demonstrates existence of non-bi-orderable groups without generalized torsion.

one-relator groups non-bi-orderable generalized torsion group theory

2023-03-13abs ↗pdf ↗

Generalized torsions in once punctured torus bundlesmath.GT

Paper finds generalized torsions in non-bi-orderable 3-manifold groups.

problem Finding non-bi-orderable 3-manifold groups.

method Analyzing fundamental groups of once punctured torus bundles.

result Identifies generalized torsions in non-bi-orderable groups.

generalized torsions 3-manifold groups once punctured torus bundles non-bi-orderable hyperbolic

2021-10-26abs ↗pdf ↗

Non-bi-orderability of

6_2

and

7_6

math.GR

We prove that the knot groups of $6_2$ and $7_6$ are not bi-orderable. These are the only two knot groups up to 7 crossings whose bi-orderability was not known. Our method applies to a very broad class of knots.

2015-12-01abs ↗pdf ↗

Generalized torsion for knots with arbitrarily high genusmath.GT

New infinite class of hyperbolic knots with high genus and generalized torsion found.

problem Finding knots with high genus and generalized torsion.

method Demonstrated through (2, 2q+1)-torus knots and their twist families.

result Infinitely many hyperbolic knots with arbitrarily high genus and generalized torsion.

knot theory generalized torsion hyperbolic knots torus knots twist families

2021-06-28abs ↗pdf ↗