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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 · Aug 202119922001200920172026
2 results for “Kashaev-Reshetikhin”
Kashaev--Reshetikhin Invariants of Linksmath.GT

The paper clarifies and computes Kashaev-Reshetikhin knot invariants.

problem Defining and computing holonomy invariants of knots.
method Using quantum sl2\mathfrak{sl}_2 at a root of unity, associating to each knot a function on the geometric component of its character variety.
result Kashaev-Reshetikhin invariants can be viewed as functions on the geometric component of the A-polynomial curve of a hyperbolic knot.
Kashaev-Reshetikhin invariantsholonomy invariantsknot theorycharacter varietyhyperbolic knots
2021-08-14abs ↗pdf ↗
Hyperbolic structures on link complements, octahedral decompositions, and quantum sl2\mathfrak{sl}_2math.GT

Geometrically describes hyperbolic structures on link complements using quantum groups.

problem Describing hyperbolic structures on link complements algebraically.
method Uses octahedral decomposition and Kashaev-Reshetikhin's braiding on quantum group Uξ(sl2)\mathcal{U}_ξ(\mathfrak{sl}_2).
result Shows how to interpret geometrically the algebraic gluing equations for hyperbolic structures.
hyperbolic structureslink complementsoctahedral decompositionquantum groupsKashaev-Reshetikhin
2022-03-11abs ↗pdf ↗