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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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4 results for “A-cowaist”

On a relation between the

\mathrm{K}

-cowaist and the

\hat{\mathsf{A}}

-cowaistmath.DG

Note on relation between K-cowaist and A-cowaist invariants.

problem Relation between K-cowaist and A-cowaist invariants on manifolds.

method Detailed proof of inequality involving these invariants.

result Established inequality K-cw2(M) ≤ c * A-cw2(M).

K-cowaist A-cowaist manifolds positive scalar curvature Gromov inequality

2023-09-01abs ↗pdf ↗

Bottom spectrum, vertical

\widehat{A}

-cowaist and scalar curvature rigiditymath.DG

New invariant extends curvature estimates to noncompact manifolds.

problem Estimating scalar curvature in noncompact manifolds.

method Introducing vertical $\widehat{A}$-cowaist and using deformed Dirac operators.

result Sharp inequality relating scalar curvature, spectrum, and new invariant.

scalar curvature curvature estimates noncompact manifolds invariant deformed Dirac operators

2026-05-18abs ↗pdf ↗

A sharp inequality between scalar curvature and the bottom spectrum on complete manifoldsmath.DG

Paper sharpens inequality linking curvature and spectrum on manifolds.

problem Linking scalar curvature and the bottom spectrum on complete manifolds.

method Using deformed Dirac operators and relative

\widehat{A}

-cowaist.

result Established a sharp inequality between scalar curvature and the bottom spectrum.

Scalar curvature Spectrum Complete manifolds Deformed Dirac operators Relative $\widehat{A}$-cowaist

2026-03-21abs ↗pdf ↗

\mathrm{K}

-cowaist on complete foliated manifoldsmath.DG

The paper extends Gromov's K-cowaist to complete foliated manifolds and estimates leafwise scalar curvature.

problem Estimating leafwise scalar curvature in foliated manifolds.

method Generalizing Gromov's K-cowaist and defining

\widehat{\mathrm{A}}

-cowaist using coverings.

result For certain conditions, the infimum of leafwise scalar curvature is shown to be non-positive.

foliated manifolds scalar curvature Gromov's K-cowaist spin manifolds leafwise scalar curvature

2021-07-18abs ↗pdf ↗