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Recent Submissions

  • Shadows of Teichmüller Discs in the Curve Graph 

    Tang, R; Webb, RCH
    We consider several natural sets of curves associated to a given Teichmüller disc, such as the systole set or cylinder set, and study their coarse geometry inside the curve graph. We prove that these sets are quasiconvex ...
  • An upper bound for the pseudoisotopy stable range 

    Randal-Williams, O (Springer, 2016-12-01)
    We prove that the pseudoisotopy stable range for manifolds of dimension 2n can be no better than (2n - 2). In order to do so, we define new characteristic classes for block bundles, extending our earlier work with Ebert, ...
  • Stackings and the W-cycles conjecture 

    Louder, L; Wilton, H
    We prove Wise’s W-cycles conjecture: Consider a compact graph Γ′ immersing into another graph Γ. For any immersed cycle Λ : S¹ → Γ, we consider the map Λ′ from the circular components S of the pullback to Γ′. Unless Λ′ is ...
  • Distinguishing geometries using finite quotients 

    Wilton, HJR; Zalesskii, P
    We prove that the profinite completion of the fundamental group of a compact 3-manifold M satisfies a Tits alternative: if a closed subgroup H does not contain a free pro-p subgroup for any p, then H is virtually soluble, ...

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