Trivial cup products in bounded cohomology of the free group via aligned chains-Reference-Cited by-同舟云学术

Trivial cup products in bounded cohomology of the free group via aligned chains

Published:2022-04-29 Issue:0 Volume:0 Page:
ISSN:0933-7741
Container-title:Forum Mathematicum
language:en
Short-container-title:

Author:

Amontova Sofia¹,Bucher Michelle¹

Affiliation:

1. Section de Mathématiques , Université de Genève , Genève 4 , Switzerland

Abstract

Abstract We prove that the cup product of Δ-decomposable quasimorphisms, Brooks quasimorphisms or Rolli quasimorphisms with any bounded cohomology class of arbitrary positive degree is trivial.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2021-0182/pdf

Reference10 articles.

1. R. Brooks, Some remarks on bounded cohomology, Riemann Surfaces and Related Topics, Ann. of Math. Stud. 97, Princeton University, Princeton (1981), 53–63.

2. M. Bucher and N. Monod, The cup product of Brooks quasimorphisms, Forum Math. 30 (2018), no. 5, 1157–1162.

3. M. Bucher and N. Monod, The bounded cohomology of SL 2 \mathrm{SL}_{2} over local fields and S-integers, Int. Math. Res. Not. IMRN 2019 (2019), 1601–1611.

4. F. Fournier-Facio, Infinite sums of Brooks quasimorphisms and cup products in bounded cohomology, preprint (2020), https://arxiv.org/abs/1710.03193.

5. R. Frigerio, Bounded Cohomology of Discrete Groups, Math. Surveys Monogr. 227, American Mathematical Society, Providence, 2017.

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