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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.

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4 results for “K-cowaist”

K-cowaist of manifolds with boundarymath.DG

Extends K-cowaist inequality to manifolds with boundary.

problem Applying K-cowaist inequality to manifolds with boundary.

method Extended K-cowaist inequality for generalized Dirac operators on manifolds with boundary.

result New applications of K-cowaist inequality to manifolds with boundary.

K-cowaist manifolds boundary Dirac operators Gromov

2023-09-14abs ↗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 ↗

Spectral flow of Callias operators, odd K-cowaist, and positive scalar curvaturemath.DG

Study spectral flow for Callias operators to prove obstructions to positive scalar curvature.

problem Prove obstructions to positive scalar curvature on manifolds.

method Use spectral flow and odd K-cowaist to derive obstructions.

result Infinite odd K-cowaist is an obstruction to the existence of PSC metrics.

spectral flow Callias operators positive scalar curvature odd K-cowaist obstruction

2025-01-29abs ↗pdf ↗

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 ↗