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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.

169,341 papers · 148 categories

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6 results for “b^m-symplectic”

Desingularizing

b^m

-symplectic structuresmath.SG

Paper desingularizes $b^m$ -symplectic structures for even $m$ .

problem Understanding

b^m

-symplectic structures and their properties.

method Desingularization procedure converting

b^m

-symplectic forms to symplectic forms

ω_ε

result Desingularized forms converge to

b^m

-symplectic forms as

ε

tends to zero.

symplectic geometry desingularization b^m-symplectic Poisson manifolds Darboux canonical form

2015-12-16abs ↗pdf ↗

The Arnold conjecture for singular symplectic manifoldsmath.SG

Proves Arnold conjecture for singular symplectic manifolds using novel techniques.

problem Hamiltonian dynamics on singular symplectic manifolds.

method Introducing smooth symplectic forms to singular symplectic structures under mild conditions, using Floer homology.

result Proves a lower bound on the number of 1-periodic Hamiltonian orbits for

b^{2m}

-symplectic manifolds.

Arnold conjecture singular symplectic manifolds Hamiltonian dynamics Floer homology novel techniques

2022-12-02abs ↗pdf ↗

Integration of differential graded manifoldsmath.DG

We consider the problem of integration of L_\infty-algebroids (differential graded manifolds) to L_\infty-groupoids. We first construct a "big" Kan simplicial manifold (Fréchet or Banach) whose points are solutions of a (generalized) Maurer-Cartan equation. The main analytic trick in our work is an integral transformat…

2015-06-16abs ↗pdf ↗

Algebroid Desingularizable Poisson Structuresmath.DG

New Poisson structures defined from Lie algebroids, with conditions for existence.

problem Existence conditions for a new class of Poisson structures.

method Definition of algebroid desingularizable Poisson manifolds and infinitesimal obstruction.

result Characterization of desingularizable Poisson structures in terms of Lie algebra properties.

Poisson structures Lie algebroids infinitesimal obstruction desingularizable symplectic Lie algebroids

2026-05-21abs ↗pdf ↗

Which singular tangent bundles are isomorphic?math.DG

The article investigates conditions for isomorphism of singular tangent bundles.

problem Conditions for isomorphism of singular tangent bundles.

method Logarithmic and

b

-tangent bundles approach to resolve singularities.

result Established a Poincaré-Hopf theorem for

b^m

-tangent bundles.

singular tangent bundles isomorphism Poincaré-Hopf theorem spheres symplectic geometry

2025-02-25abs ↗pdf ↗

Reduction theory for singular symplectic manifolds and singular forms on moduli spacesmath.SG

Reduces symplectic manifolds with singularities for quantum reduction.

problem Quantization commutes with reduction for singular symplectic manifolds.

method Reduction theory for

b^m

-symplectic manifolds and folded symplectic manifolds under general symmetries.

result New constructions of (singular) quasi-Hamiltonian spaces via reduction and fusion product.

symplectic manifolds reduction theory quantization singular forms moduli spaces

2022-05-25abs ↗pdf ↗