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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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6 results for “1-gons”

Any nontrivial knot projection with no triple chords has a monogon or a bigonmath.GT

The paper shows that knot projections without triple chords can be simplified.

problem The study of knot projections and their chord diagrams.

method Flat Reidemeister moves that decrease 1-gons or strong 2-gons.

result For any knot projection without triple chords, a sequence of moves simplifies it to a simple closed curve.

knot projections chord diagrams Reidemeister moves 1-gons 2-gons

2021-08-23abs ↗pdf ↗

Central points of the double heptagon translation surface are not connection pointsmath.GT

Study finds central points of double heptagon surface are not connection points.

problem Identifying connection points on double heptagon translation surfaces.

method Used a gcd algorithm to determine hyperbolic directions and found non-connection points.

result Central points of heptagons are not connection points on double heptagon translation surfaces.

translation surface double heptagon connection points Veech group gcd algorithm

2020-09-03abs ↗pdf ↗

Surgery, Polygons and

SU(N)

-Floer Homologymath.GT

Surgery exact triangles in various 3-manifold Floer homology theories provide an important tool in studying and computing the relevant Floer homology groups. These exact triangles relate the invariants of 3-manifolds, obtained by three different Dehn surgeries on a fixed knot. In this paper, the behavior of $SU(N)$ -ins…