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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.

168,695 papers · 148 categories

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0111 · Jun 200519922001200920172026
2 results for “5-braids”
Single-colored ADO-3 invariant is a specialization of Links-Gould invariant for closures of 5-braidsmath.GT

Single-colored ADO-3 invariant matches Links-Gould polynomial for 5-braid closures.

problem Matching ADO-3 invariant with Links-Gould polynomial for specific knot types.
method Proved for closures of 5-braids, conjectured for all knots and links.
result Single-colored ADO-3 invariant equals Links-Gould polynomial for 5-braid closures.
knot theorybraid theoryinvariantspolynomial5-braids
2022-06-24abs ↗pdf ↗
The minimum dilatation of pseudo-Anosov 5-braidsmath.GT

The minimum dilatation of pseudo-Anosov 5-braids is shown to be the largest zero λ5≈1.72208λ_5 \approx 1.72208 of x4−x3−x2−x+1x^4 - x^3 - x^2 - x + 1 which is attained by σ1σ2σ3σ4σ1σ2σ_1σ_2σ_3σ_4σ_1σ_2.

2005-06-15abs ↗pdf ↗