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@article{SEMR_2021_18_1_a50, author = {Ya. A. Kopylov}, title = {On {the~Orlicz} cohomology of~star-bounded simplicial complexes}, journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a}, pages = {710--719}, publisher = {mathdoc}, volume = {18}, number = {1}, year = {2021}, language = {en}, url = {http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a50/} }
Ya. A. Kopylov. On the~Orlicz cohomology of~star-bounded simplicial complexes. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 710-719. http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a50/
[1] M.F. Atiyah, “Elliptic operators, discrete groups and von Neumann algebras”, Asterisque, 32-33 (1976), 43–72 | MR | Zbl
[2] M. Carrasco Piaggio, “Orlicz spaces and the large scale geometry of Heintze groups”, Math. Ann., 368:1-2 (2017), 433–481 | DOI | MR | Zbl
[3] J. Cheeger, M. Gromov, “$L_2$-cohomology and group cohomology”, Topology, 25 (1986), 189–215 | DOI | MR | Zbl
[4] S. Ducret, $L_{q,p}$-cohomology of Riemannian manifolds and simplicial complexes of bounded geometry, Thèse No 4544, École Polytechnique Fédérale de Lausanne, 2009
[5] G. Elek, “Coarse cohomology and $l_p$-cohomology”, K-Theory, 13:1 (1998), 1–22 | DOI | MR | Zbl
[6] V.M. Gol$'$dshtein, V.I. Kuz$'$minov, I.A. Shvedov, “De Rham isomorphism of the $L_p$-cohomology of noncompact Riemannian manifolds”, Sib. Math. J., 29:2 (1988), 190–197 | DOI | MR | Zbl
[7] M. Gromov, Asymptotic invariants of infinite groups, London Math. Soc. Lecture Notes Ser., 182, Cambridge Univ. Press, Cambridge, 1993 | MR | Zbl
[8] Ya.A. Kopylov, R.A. Panenko, “De Rham regularization operators in Orlicz spaces of differential forms on Riemannian manifolds”, Sib. Élektron. Mat. Izv., 12 (2015), 361–371 | MR | Zbl
[9] J. Musielak, Orlicz spaces and modular spaces, Lecture Notes in Mathematics, 1034, Springer-Verlag, Berlin etc., 1983 | DOI | MR | Zbl
[10] P. Pansu, Cohomologie $L_p$: invariance sous quasiisometries, Preprint, Université Paris-Sud, 1995
[11] E. Sequeira, De Rham's theorem for Orlicz cohomology in the case of Lie groups, 2020, arXiv: 2006.09629 [math.MG]
[12] D. Sullivan, “Infinitesimal computation in topology”, Publ. Math. IHÉS, 47 (1977), 269–331 | DOI | MR | Zbl
[13] H. Whitney, Geometric integration theory, Princeton University Press, Princeton, N. J.; Oxford University Press, London, 1957 | MR | Zbl