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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.

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4 results for “Lp-cohomology”

Lp -cohomology and the geometry of p-harmonic formsmath.DG

The abstract discusses p-harmonic forms and their geometric properties, proving new theorems about Lp-cohomology.

problem The abstract tackles the geometric properties of p-harmonic forms and their role in Lp-cohomology.

method The approach involves using p-harmonic and p-coclosed forms to reprove vanishing theorems and provide injectivity theorems.

result The main finding is the reproof of vanishing theorems and the provision of injectivity theorems for Lp-cohomology.

p-harmonic forms Lp-cohomology vanishing theorems injectivity theorems geometric properties

2024-03-28abs ↗pdf ↗

Lp-cohomology of symmetric spacesmath.DG

This is a short survey of Riemannian geometric applications of Lp-cohomology of thick spaces, p not equal to 2.

2007-01-05abs ↗pdf ↗

Vanishing of the first reduced cohomology with values in an

L^p

-representationmath.GT

We prove that the first reduced cohomology with values in a mixing Lp-representation, p larger than 1, vanishes for a class of amenable groups including connected amenable Lie groups. In particular this solves for this class of amenable groups a conjecture of Gromov saying that every finitely generated amenable group h…

2006-10-31abs ↗pdf ↗

Lp-cohomology of negatively curved manifoldsmath.DG

We compute the $L^p$ -cohomology spaces of some negatively curved manifolds. We deal with two cases: manifolds with finite volume and sufficiently pinched negative curvature, and conformally compact manifolds.

2004-02-04abs ↗pdf ↗