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math.GT2024
Quasimorphisms on the group of density preserving diffeomorphisms of the Möbius band
KyeongRo Kim, Shuhei Maruyama
The existence of quasimorphisms on groups of homeomorphisms of manifolds has been extensively studied under various regularity conditions, such as smooth, volume-preserving, and sy…
math.GT2024
Invariant quasimorphisms and generalized mixed Bavard duality
Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2
This article provides an expository account of the celebrated duality theorem of Bavard and three its strengthenings. The Bavard duality theorem connects scl (stable commutator len…