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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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21 results for “band-width”

Quantitative partitioned index theorem and noncompact band-widthmath.DG

Paper proves a noncompact version of Gromov's band-width estimate.

problem Proving a precise upper bound for noncompact Riemannian bands.

method Developed a quantitative partitioned manifold index theory.

result Proved a version of Gromov's band-width estimate for noncompact Riemannian bands.

band-width Gromov conjecture index theory noncompact Riemannian bands

2026-02-06abs ↗pdf ↗

Band width estimates with lower spectral curvature boundsmath.DG

Study shows upper limit for torical band width with spectral curvature bounds.

problem Understanding the band width of torical bands with spectral curvature constraints.

method Used the warped $ μ$-bubble method with spectral curvature bounds.

result Upper bound for the band width of torical bands is established.

spectral curvature torical band band width rigidity results

2025-04-14abs ↗pdf ↗

Band width estimates of CMC initial data setsmath.DG

Estimates bandwidth for CMC initial data sets.

problem Estimating bandwidth for constant mean curvature (CMC) initial data sets.

method Three independent proofs: stability of null expansion, spacetime harmonic function perturbation, Dirac operator.

result Generalized Gromov's band width estimate to CMC initial data sets.

bandwidth CMC initial data Gromov null expansion

2022-06-06abs ↗pdf ↗

Quantitative K-theory, positive scalar curvature, and band widthmath.KT

Develops connections between operator K-theory and positive scalar curvature.

problem Positive scalar curvature on closed spin manifolds and Gromov's band width conjecture.

method Quantitative index theory and related techniques.

result The propagation of the index of the Dirac operator is inversely related to the curvature lower bound.

operator K-theory positive scalar curvature Dirac operator band width conjecture

2020-10-05abs ↗pdf ↗

Some rigidity theorems for spectral curvature boundsmath.DG

The paper explores rigidity theorems for spectral curvature bounds in 3-manifolds.

problem Classical rigidity results in scalar curvature geometry are extended to the spectral setting.

method Warped

μ

-bubble method is systematically employed to classify stable weighted minimal hypersurfaces and establish band width estimates.

result Classification theorems and band width estimates for spectral Ricci and scalar curvatures are proven.

spectral curvature bounds rigidity theorems warped $μ$-bubble method 3-manifolds stable minimal hypersurfaces

2026-04-05abs ↗pdf ↗

Macroscopic band width inequalitiesmath.DG

Inspired by Gromov's work on 'Metric inequalities with scalar curvature' we establish band width inequalities for Riemannian bands of the form $(V=M\times[0,1],g)$ , where $M^{n-1}$ is a closed manifold. We introduce a new class of orientable manifolds we call filling enlargeable and prove: If $M$ is filling enlargeable…

2019-11-29abs ↗pdf ↗

Covering instability for the existence of positive scalar curvature metricsmath.DG

The study explores positive scalar curvature metrics on non-orientable manifolds and their covers.

problem Existence of positive scalar curvature metrics on non-orientable manifolds and their covers.

method Extends Schoen-Yau inductive descent approach to non-orientable manifolds.

result Examples of non-orientable manifolds with positive scalar curvature metrics on their orientation double covers but not on homotopy equivalent manifolds.

positive scalar curvature non-orientable manifolds orientation double cover Urysohn widths band width estimates

2025-06-16abs ↗pdf ↗

Scalar curvature rigidity for products of spheres and torimath.DG

The paper proves rigidity for certain product spaces and bounds for band widths.

problem Proving rigidity for product spaces and bounds for band widths.

method Combining stable weighted slicing with a spectral Dirac operator argument.

result Closed spin

(M^n,g)

is isometrically covered by

S^{n-m} imes\mathbb{R}^m

under certain conditions.

rigidity product spaces band widths spectral Dirac operator weighted slicing

2025-11-06abs ↗pdf ↗

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinitymath.DG

Define mass invariant for asymptotically hyperbolic 3-manifolds with toroidal infinity.

problem Define mass invariant for asymptotically hyperbolic 3-manifolds with toroidal infinity.

method Define mass invariant for asymptotically hyperbolic 3-manifolds with toroidal infinity.

result Define mass invariant for asymptotically hyperbolic 3-manifolds with toroidal infinity.

mass invariant asymptotically hyperbolic 3-manifolds toroidal infinity

2026-06-18abs ↗pdf ↗

A Product Formula for Family Indices and Family Band Width Estimatesmath.DG

Extends width estimates to family case using index theory.

problem Sharp width estimates for Riemannian bands with positive scalar curvature.

method Dirac operators and family index theory.

result Proves width estimate for fiber bundles with infinite A-hat area.

width estimates Riemannian bands positive scalar curvature fiber bundles family index theory

2025-07-29abs ↗pdf ↗

On the long neck principle and width estimates for initial data setsmath.DG

Proves principles and estimates for initial data sets in Einstein equations.

problem Understanding initial data sets in Einstein equations.

method Spinorial Callias operator approach.

result Proves long neck principle and width estimates.

Einstein equations initial data sets long neck principle width estimates spinorial Callias operator

2023-07-14abs ↗pdf ↗

Positive scalar curvature and exotic structures on simply connected four manifoldsmath.DG

The study refines known counterexamples in 4D to satisfy certain inequalities.

problem Addressing counterexamples in Gromov's and Rosenberg's conjectures.

method Analyzing simply connected and non-simply connected four manifolds up to homeomorphism.

result Gromov's and Rosenberg's conjectures hold for simply connected four manifolds up to homeomorphism.

scalar curvature four manifolds counterexamples homeomorphism Gromov's inequality

2025-01-02abs ↗pdf ↗

Scenario generation for market risk models using generative neural networkscs.LG

Generative neural networks improve insurance market risk modeling.

problem Creating realistic market risk scenarios for insurance companies.

method Using generative adversarial networks (GANs) to generate economic scenarios.

result GAN-based models produce similar results to traditional regulatory models.

market risk insurance GANs Solvency 2 economic scenarios

2021-09-21abs ↗pdf ↗

Robust Hedging Valuation Adjustment under Liquidity--Demand Stressq-fin.RM

Develops a robust hedging valuation adjustment measure for dynamic hedging under liquidity-demand stress.

problem Dynamic hedging under liquidity-demand stress

method Define robust HVA as the worst-case expected loss over a relative-entropy neighborhood of the loss distribution generated by simulated rebalancing and maturity-unwind trades.

result Distinguishes fixed-radius convention from fixed benchmark-stress convention and shows wider no-trade bands lower rebalancing costs but raise hedge-error risk.

hedging valuation liquidity stress robustness

2026-06-25abs ↗pdf ↗

Robust Hedging Valuation Adjustment under Liquidity--Demand Stressq-fin.RM

Paper develops a robust HVA measure for dynamic hedging under liquidity stress.

problem Valuation of dynamic hedging under liquidity stress.

method Defines robust HVA as worst-case expected loss over a relative-entropy neighborhood of loss distributions for no-trade bands.

result Wider no-trade bands lower rebalancing costs but increase hedge-error risk.

Hedging Valuation Liquidity Stress Dynamic Hedging Relative Entropy

2026-06-25abs ↗pdf ↗

Band width and the Rosenberg indexmath.KT

The Rosenberg index vanishes if a manifold admits a wide Riemannian band or cube-like domain.

problem Proving the Rosenberg index does not vanish for certain manifolds.

method Analyzing isometric immersions of wide Riemannian bands and cube-like domains on spin manifolds.

result Closed spin manifolds with infinite

\mathcal{KO}

-width have non-vanishing Rosenberg index.

Riemannian manifold spin manifold Rosenberg index higher index isometric immersion

2021-08-19abs ↗pdf ↗

Band width estimates via the Dirac operatormath.DG

Let $M$ be a closed connected spin manifold such that its spinor Dirac operator has non-vanishing (Rosenberg) index. We prove that for any Riemannian metric on $V = M \times [-1,1]$ with scalar curvature bounded below by $σ> 0$ , the distance between the boundary components of $V$ is at most $C_n/\sqrtσ$ , where $C_n = \…

2019-05-21abs ↗pdf ↗

Band Width Estimates and Rigidity of Manifolds with Negative Curvaturemath.DG

Establish optimal Lipschitz lower bounds for functions on manifolds with negative curvature, revealing interplay between width, boundary area, and topology.

problem Width estimates and rigidity of manifolds with negative curvature

method Gromov's μ-bubble method

result Sharp lower bound for boundary area in hyperbolic bands

width rigidity negative curvature Gromov's μ-bubble hyperbolic band

2026-06-23abs ↗pdf ↗

Catalyst design using actively learned machine with non-ab initio input features towards CO2 reduction reactionscond-mat.mtrl-sci

In conventional chemisorption model, the d-band center theory (augmented sometimes with the upper edge of d-band for imporved accuarcy) plays a central role in predicting adsorption energies and catalytic activity as a function of d-band center of the solid surfaces, but it requires density functional calculations that…

2017-09-14abs ↗pdf ↗

Federated CycleGAN for Privacy-Preserving Image-to-Image Translationcs.CV

Federated CycleGAN enables privacy-preserving image translation without central data.

problem Privacy and security issues in unsupervised image-to-image translation.

method Novel federated CycleGAN architecture that decomposes CycleGAN loss into client-specific local objectives.

result Federated CycleGAN achieves comparable performance to non-federated CycleGAN without central data exchange.

federated learning image-to-image translation privacy-preserving CycleGAN unsupervised learning

2021-06-17abs ↗pdf ↗

Mamba Outpaces Reformer in Stock Prediction with Sentiments from Top Ten LLMsq-fin.ST

Mamba outperforms Reformer in minute-level stock prediction using LLM sentiment scores.

problem Improving minute-level stock market prediction accuracy in volatile markets.

method Combining sentiment scores from top LLMs with stock price data, training Mamba and Reformer models.

result Mamba achieved lower error rates across all tested LLMs, especially with LLaMA 3.3--70B.

stock prediction LLM sentiment analysis minute-level forecasting financial time series large language models

2025-09-14abs ↗pdf ↗