The paper establishes a Lagrangian correspondence linking different geometric structures on complex varieties.
Standout papers
A rotating spotlight of notable recent papers in each field — digested by the on-device LLM, refreshed as the index grows.
Differential Geometry
9Finslerian graph neural networks recover nonlinear diffusion geometry
New method learns operators with geometric singularities from few samples.
Study equivalence between Hessian and Born structures on tangent bundles.
Study of constant curvature hypersurfaces in hyperbolic space.
Optimal geometric estimates for Kähler manifolds with bounded Nash entropy
Study small eigenvalues of Riemann surfaces degenerating with Kähler metrics.
This paper improves Green's function estimates for compact Kähler manifolds.
Study variational properties of curves in half-plane with area constraints.
Geometric Topology
9Cobordism and signatures of manifolds with similar fundamental groups.
Unique maximal curve systems found for up to 5 punctures.
Method for computing Khovanov homology of tangles.
Study on scalar curvature bounds and manifold topological complexity.
The paper extends the Manhattan curve concept to complex dynamics and studies its relation to multiplier spectra.
Every negative amphichiral knot is rationally slice.
New conditions prevent non-trivial relations in local equivalence group.
AI tested on 10 math questions from research.
New mathematical proposal for TQFTs using TMF-modules.
Statistical ML
9ARF synthesizes epidemiological data to match original findings.
Proposes DCV-ROOD framework for robust OOD detection evaluation.
Adapts attention to supervised learning for personalized predictions.
HKRR adapts to MIM, overcoming the curse of dimensionality.
This work proves that large models can be compressed significantly without losing performance.
SPF uses a hierarchical approach to efficiently emulate climate changes.
Accelerates sampling from Gibbs distributions using ARWP method.
Sparse transformer architecture improves accuracy and speed in generative modeling and inverse problems.
Implicit models can match or exceed explicit models with more test-time compute.
Quant Finance
9Adaptive strategies reduce pension fund costs and risks.
LLMs can predict CFO responses to economic surveys
Quantum algorithm improves portfolio construction accuracy.
MPC framework reduces execution costs and schedule deviations in trading.
We find stationary distributions in a financial model with trends and mean-reversion.
Higher environmental performance linked to more tax avoidance, especially for financially constrained firms.
Paper finds significant impact of stock market swings on equity risk premium predictability.
The study examines stock splits and their effects on companies, managers, and shareholders.
The study improves stock market valuation using volatility and earnings data.