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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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1122 · May 202219922001200920172026
7 results for polyforms

New framework for generalized Killing spinors on manifolds.

problem Formulating generalized Killing spinor equations as polyform systems.
method Developing a new framework using polyforms and algebraic relations in the Kähler-Atiyah bundle.
result Characterization of real spinor squaring map as a real algebraic variety.

Study torsion parallel spinors on Lorentzian 4-manifolds and their evolution flows.

problem Investigate torsion parallel spinors on Lorentzian four-manifolds.
method Geometric study via spinorial polyforms and supersymmetric NS-NS system.
result Globally hyperbolic evolution flow determined by supersymmetric solutions.

Study of differential spinors on three-manifolds with skew-torsion.

problem Characterizing differential spinors on Lorentzian three-manifolds with skew-torsion.
method Developed spinorial polyforms and used them to study differential spinors, proving that every differential spinor is equivalent to an isotropic line preserved by a metric connection with skew-torsion.
result Obtained structural results about Lorentzian three-manifolds equipped with skew-torsion parallel spinors, which are necessarily Kundt and geodesically complete in the compact case.

Investigates parallel spinors on Lorentzian four-manifolds using differential geometry.

problem Characterizing and classifying Lorentzian four-manifolds with parallel spinors.
method Formulated parallel spinor flow equations and used parabolic pairs theory.
result Characterized all parallel Cauchy pairs on simply connected Cauchy surfaces and classified compact three-manifolds.