5 papers
Coarse geometry of stable mixed commutator length I: duality and functional analysis on chains
Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2
Let be a group and its normal subgroup. On the mixed commutator subgroup , the mixed stable commutator length and the restriction of the ordinar…
Flux homomorphism and bilinear form constructed from Shelukhin's quasimorphism
Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2
Given a closed connected symplectic manifold , we construct an alternating -bilinear form on the real first cohomol…
Non-extendablity of Shelukhin's quasimorphism and non-triviality of Reznikov's class
Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2
Shelukhin constructed a quasimorphism on the universal covering of the group of Hamiltonian diffeomorphisms for a general closed symplectic manifold. In the present paper, we prove…
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…
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…