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arXiv · 1702.04984

Cup-products in L q,p -cohomology: discretization and quasi-isometry invariance

Pierre Pansu
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Abstract

We relate $L^{q,p}$-cohomology of bounded geometry Riemannian manifolds to a purely metric space notion of $\ell^{q,p}$-cohomology, packing cohomology. This implies quasi-isometry invariance of $L^{q,p}$-cohomology together with its multiplicative structure. The result partially extends to the Rumin $L^{q,p}$-cohomology of bounded geometry contact manifolds.

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Pierre Pansu. 2017-02-16. Cup-products in L q,p -cohomology: discretization and quasi-isometry invariance. https://arxiv.org/abs/1702.04984

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