TY - JOUR
T1 - Bounded cohomology of transformation groups
AU - Brandenbursky, Michael
AU - Marcinkowski, Michał
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2022/4/1
Y1 - 2022/4/1
N2 - Let M be a complete connected Riemannian manifold of finite volume. We present a new method of constructing classes in bounded cohomology of transformation groups such as Homeo (M, μ) , Diff (M, vol) and Symp (M, ω). As an application we show that for many manifolds (in particular for hyperbolic surfaces) the third bounded cohomology of these groups is infinite dimensional.
AB - Let M be a complete connected Riemannian manifold of finite volume. We present a new method of constructing classes in bounded cohomology of transformation groups such as Homeo (M, μ) , Diff (M, vol) and Symp (M, ω). As an application we show that for many manifolds (in particular for hyperbolic surfaces) the third bounded cohomology of these groups is infinite dimensional.
UR - http://www.scopus.com/inward/record.url?scp=85113962641&partnerID=8YFLogxK
U2 - 10.1007/s00208-021-02266-8
DO - 10.1007/s00208-021-02266-8
M3 - Article
AN - SCOPUS:85113962641
SN - 0025-5831
VL - 382
SP - 1181
EP - 1197
JO - Mathematische Annalen
JF - Mathematische Annalen
IS - 3-4
ER -