Quasi-morphisms on the group of area-preserving diffeomorphisms of the $2$-disk via braid groups

Recently Gambaudo and Ghys proved that there exist infinitely many quasi-morphisms on the group 𝐷𝑖𝑓𝑓_{Ω}^{∞}(𝐷²,∂𝐷²) of area-preserving diffeomorphisms of the 2-disk 𝐷². For the proof, they constructed a homomorphism from the space of quasi-morphisms on the braid grou...

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Bibliographic Details
Main Author: Tomohiko Ishida
Format: Article
Language:English
Published: American Mathematical Society 2014-03-01
Series:Proceedings of the American Mathematical Society, Series B
Subjects:
Online Access:http://www.ams.org/bproc/2014-01-05/S2330-1511-2014-00002-X/