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.
Twist number of (closed) braids, Algebra i Analiz , Volume16 (2004), no
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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.