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math.SG2025
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…
math.SG2025
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…