Constructs infinitely many linearly independent quasi-homomorphisms on mapping class groups of genus ≥2 surfaces vanishing on handlebody subgroups, disproving Reznikov's bounded-width conjecture for Heegaard splittings.
Structure of the mapping class groups of su rfaces: a survey and a prospect, from: Proceedings of the Kirbyfest (Berkeley, CA, 1998), Geom
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Quasi-homomorphisms on mapping class groups vanishing on a handlebody group
Constructs infinitely many linearly independent quasi-homomorphisms on mapping class groups of genus ≥2 surfaces vanishing on handlebody subgroups, disproving Reznikov's bounded-width conjecture for Heegaard splittings.