Extension problem of subset-controlled quasimorphisms
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- by Morimichi Kawasaki HTML | PDF
- Proc. Amer. Math. Soc. Ser. B 5 (2018), 1-5
Abstract:
Let $(G,H)$ be $(\mathrm {Ham}(\mathbb {R}^{2n}),\mathrm {Ham}(\mathbb {B}^{2n}))$ or $(B_\infty ,B_n)$. We conjecture that any semi-homogeneous subset-controlled quasimorphism on $[G,G]$ can be extended to a homogeneous subset-controlled quasimorphism on $G$ and also give a theorem supporting this conjecture by using a Bavard-type duality theorem on conjugation invariant norms.References
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Additional Information
- Morimichi Kawasaki
- Affiliation: Center for Geometry and Physics, Institute for Basic Science (IBS), Pohang 37673, Republic of Korea
- Email: kawasaki@ibs.re.kr
- Received by editor(s): December 18, 2016
- Received by editor(s) in revised form: April 19, 2017, and September 1, 2017
- Published electronically: January 22, 2018
- Additional Notes: This work was supported by IBS-R003-D1.
- Communicated by: Ken Bromberg
- © Copyright 2018 by the author under Creative Commons Attribution-Noncommercial 3.0 License (CC BY NC 3.0)
- Journal: Proc. Amer. Math. Soc. Ser. B 5 (2018), 1-5
- MSC (2010): Primary 20J06, 53D22; Secondary 57M27
- DOI: https://doi.org/10.1090/bproc/31
- MathSciNet review: 3748593