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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.

168,657 papers · 148 categories

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2 results for “D-algebra”

Algebraic aspects of connections: from torsion, curvature, and post-Lie algebras to Gavrilov's double exponential and special polynomialsmath.DG

This work explores algebraic structures from curvature and torsion in affine connections.

problem Understanding algebraic structures from curvature and torsion in affine connections.

method Post-Lie algebra, D-algebra, and special polynomials.

result A particular class of geometrically special polynomials is generated by torsion and curvature.

affine connections curvature torsion post-Lie algebra D-algebra

2022-05-09abs ↗pdf ↗

Microlocal index theorems and analytic torsion invariants in the geometric theory of partial differential equationsmath.AG

Unified geometric perspectives on PDEs, torsion invariants, and moduli theory.

problem Index theory and analytic torsion of nonlinear PDEs.

method Microlocal sheaf theory, factorization algebras, Spencer hypercohomology.

result Unified geometric perspectives on PDEs, torsion invariants, and moduli theory.

index theory analytic torsion nonlinear PDEs microlocal sheaf theory factorization algebras

2026-03-11abs ↗pdf ↗