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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.

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5 results for “SL2-representations”

Multiplicity of non-acyclic

{\rm SL}_2

-representations and L-functions of the odd-twisted Whitehead linksmath.GT

Study multiplicity of non-acyclic SL2-representations and L-functions of Whitehead links.

problem Understanding the multiplicity of non-acyclic SL2-representations and their L-functions.

method Geometric interpretation of Reidemeister torsion divisors and application to L-functions.

result Prove multiplicity two for odd-twisted Whitehead links.

SL2-representations Reidemeister torsion Whitehead links L-functions divisors

2023-03-28abs ↗pdf ↗

Liminal

{\rm SL}_2\mathbb{Z}_p

-representations and odd-th cyclic covers of genus one two-bridge knotsmath.GT

Arithmetic study of knots connects homology and SL2 representations.

problem Understanding cyclic covers of knots and their SL2 representations.

method Analyzing cyclic branched covers and using SL2 representations.

result Liminal SL2 representations exist for certain knots.

knot theory SL2 representations cyclic covers two-bridge knots p-adic integers

2024-12-31abs ↗pdf ↗

Topological formula of the loop expansion of the colored Jones polynomialsmath.GT

We give a topological formula of the loop expansion of the colored Jones polynomials by using identification of generic quantum sl2 representation with homological representations. This gives a direct topological proof of the Melvin-Morton-Rozansky conjecture, and a connection between entropy of braids and quantum repr…

2014-11-20abs ↗pdf ↗

Non-acyclic