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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.

168,742 papers · 148 categories

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3 results for “rackoid”
Global Aspects of Doubled Geometry and Pre-rackoidmath-ph

Integrates C-bracket and Vaisman algebroid structures in double field theory.

problem Integration problem of C-bracket and Vaisman algebroid structures in double field theory.
method Introduces pre-rackoid as a global group-like object for infinitesimal algebroid structures, proposes two realizations, and shows reduction to rackoid under strong constraint.
result Reduces pre-rackoid to rackoid under strong constraint of double field theory.
double field theoryC-bracketVaisman algebroidpre-rackoidrackoid
2020-06-15abs ↗pdf ↗
Lie rackoidsmath.DG

We define a new differential geometric structure, called Lie rackoid. It relates to Leibniz algebroids exactly as Lie groupoids relate to Lie algebroids. Its main ingredient is a selfdistributive product on the manifold of bisections of a smooth precategory. We show that the tangent algebroid of a Lie rackoid is a Leib…

2015-11-10abs ↗pdf ↗
Drinfel'd Double of Bialgebroids for String and M Theories: Dual Calculus Frameworkhep-th

Extends Lie bialgebroids for string and M theories with new calculus framework.

problem Formalize calculus on algebroids for string and M theories.
method Reinterpret matched pairs of Leibniz algebroids, examine algebroid axioms, construct double on direct sum.
result Construct Drinfel'd double of Lie bialgebroids for general algebroids.
Lie bialgebroidsstring theoryM theorycalculusalgebroids
2023-12-11abs ↗pdf ↗