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Quasi-homomorphisms on mapping class groups vanishing on a handlebody group

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 نشر من قبل Jiajun Wang
 تاريخ النشر 2019
  مجال البحث
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We construct infinitely many linearly independent quasi-homomorphisms on the mapping class group of a Riemann surface with genus at least two which vanish on a handlebody subgroup. As a corollary, we disprove a conjecture of Reznikov on bounded width in Heegaard splittings. Another corollary is that there are infinitely many linearly independent quasi-invariants on the Heegaard splittings of three-manifolds.



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