TY - JOUR
T1 - On the de Rham Homomorphism for Lπ-Cohomologies
AU - Gol’dshtein, Vladimir
AU - Panenko, Roman
N1 - Publisher Copyright:
© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.
PY - 2024/1/1
Y1 - 2024/1/1
N2 - 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 Lπ-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 = 0, p1,…, pn> missing nonincreasing monotonicity.
AB - 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 Lπ-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 = 0, p1,…, pn> missing nonincreasing monotonicity.
UR - http://www.scopus.com/inward/record.url?scp=85193248908&partnerID=8YFLogxK
U2 - 10.1007/s10958-024-07142-9
DO - 10.1007/s10958-024-07142-9
M3 - Article
AN - SCOPUS:85193248908
SN - 1072-3374
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
ER -