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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.

168,742 papers · 148 categories

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2 results for “u-polynomial”

An example of semiquandle and u-polynomials for flat virtual knots via this semiquandle coloringmath.GT

The paper introduces a semiquandle for flat virtual knots and connects it to u-polynomials.

problem Defining invariants for flat virtual knots.

method Developed a semiquandle and used it to define an invariant for flat virtual knots.

result The semiquandle invariant relates to u-polynomials for flat virtual knots.

semiquandle flat virtual knot u-polynomial invariant

2024-11-07abs ↗pdf ↗

Parabolic representations and generalized Riley polynomialsmath.GT

Study parabolic representations of knots using quandles and polynomials.

problem Classify parabolic representations of knot groups.

method Utilize parabolic and symplectic quandles, generalized Riley polynomials, and

u

-polynomials.

result Complete classification of parabolic representations up to 12 crossings.

parabolic representations knot groups quandles Riley polynomials symplectic quandles

2022-04-01abs ↗pdf ↗