On the de Rham Homomorphism for Lπ-Cohomologies

Vladimir Gol’dshtein; Roman Panenko

doi:10.1007/s10958-024-07142-9

On the de Rham Homomorphism for L_π-Cohomologies

Vladimir Gol’dshtein, Roman Panenko

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study the procedure of regularization in the context of the Lipschitz version of de Rham calculus on metric simplicial complexes with bounded geometry. It provides us with the machinery to handle the de Rham homomorphism for L_π-cohomologies. In this respect, we obtain the condition resolving the question of triviality of the kernel for de Rham homomorphism. In particular, we specify the nontrivial cohomology classes explicitly for a sequence of parameters π = <p₀, p₁,…, p_n> missing nonincreasing monotonicity.

Original language	English
Pages (from-to)	646-676
Number of pages	31
Journal	Journal of Mathematical Sciences
Volume	281
Issue number	5
DOIs	https://doi.org/10.1007/s10958-024-07142-9
State	Published - 1 Jun 2024

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Applied Mathematics

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On the de Rham Homomorphism for L_π-Cohomologies

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