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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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0111 · Feb 202219922001200920172026
3 results for “Drinfeld-Jimbo”
Stokes phenomena, Poisson-Lie groups and quantum groupsmath.QA

Paper connects Stokes phenomena to quantum groups and Poisson-Lie groups.

problem Analyse Stokes phenomena in Poisson-Lie groups and quantum groups.
method Use Ug-valued Stokes phenomena to construct quantum group U_hg and relate it to Poisson-Lie group G*.
result Show that Ug-valued Stokes phenomena can be obtained as a semiclassical limit of the KZ associator.
Stokes phenomenaPoisson-Lie groupsQuantum groupsDrinfeld-JimboKZ equations
2022-02-21abs ↗pdf ↗
Chern-Simons factorization algebras and knot polynomialsmath.QA

This work connects knot invariants to Chern-Simons theories via factorization homology.

problem Understanding knot invariants in Chern-Simons theories.
method Constructing a filtered E3\mathcal{E}_3-algebra and proving an equality between factorization homology trace and Reshetikhin-Turaev link invariant.
result Established a connection between knot invariants and Chern-Simons theories.
Chern-Simons theoryknot polynomialsfactorization homologyReshetikhin-Turaev invariant
2026-02-12abs ↗pdf ↗
Noncommutative Complex Structures for the Full Quantum Flag Manifold of Quantum SU(3)math.QA

New complex structures found in quantum SU(3) manifold.

problem Exploring non-commutative complex structures in quantum SU(3) manifold.
method Examined the rank two case of quantum SU(3) manifold, analyzing its differential calculus and non-commutative complex geometry.
result Found that the number of almost-complex structures reduces from 8 to 4, and each is integrable (complex structure).
quantum SU(3)non-commutative complex structuresDolbeault complexalmost-complex structuresintegrable
2024-11-12abs ↗pdf ↗