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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 “GL-racks”

GL-racks and coloring invariants of Legendrian knotsmath.GT

The paper connects GL-racks to knot coloring invariants.

problem Understanding invariants of Legendrian knots.

method Exploring GL-racks and their decomposition into permutation and block GL-racks.

result Equivalent coloring invariants for knots with identical classical invariants.

GL-racks Legendrian knots coloring invariants knot theory

2026-05-16abs ↗pdf ↗

Fundamental generalized Legendrian rack and classical invariantsmath.GT

Paper proves Legendrian knots with same GL-rack have similar invariants.

problem Classifying Legendrian knots based on their invariants.

method Examined fundamental GL-racks and their relationship to Thurston-Bennequin and rotation numbers.

result Two Legendrian knots with isomorphic fundamental GL-racks have similar invariants.

Legendrian knots GL-racks Thurston-Bennequin rotation number

2025-07-24abs ↗pdf ↗

Classification and structure of generalized Legendrian racksmath.GT

Study of generalized Legendrian racks and their GL-structures.

problem Characterizing and classifying generalized Legendrian racks.

method Algebraic analysis, classification of racks and GL-racks, tensor products.

result Classification of several infinite families of GL-racks.

Legendrian racks GL-structures tensor products automorphism groups centers of categories

2025-04-17abs ↗pdf ↗

Generalised Legendrian racks of Legendrian linksmath.GT

Innovative rack theory applied to Legendrian links.

problem Classifying and distinguishing Legendrian links.

method Purely rack-theoretic approach, Legendrian Reidemeister moves, cusps, homogeneous representations, modules.

result Invariant distinguishes infinitely many Legendrian unknots and trefoils.

Legendrian links rack theory homogeneous representations modules Beck modules

2023-01-17abs ↗pdf ↗