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

2021/02/12 by Amontova, Sofia, Bucher, Michelle
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2102.06394

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.

Related

• Infinite sums of Brooks quasimorphisms and cup products in bounded cohomology
• The cup product of Brooks quasimorphisms
• Cup Product in Bounded Cohomology of the Free Group
• A vanishing criterion for cup products and Massey products in bounded cohomology
• Trivial Massey Product in Bounded Cohomology