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  • Rational L‐space surgeries on satellites by algebraic links
    J. Topol. (IF 1.642) Pub Date : 2020-07-16
    Sarah Dean Rasmussen

    Given an n ‐component link L in any 3‐manifold M , the space L ⊂ ( Q ∪ { ∞ } ) n of rational surgery slopes yielding L‐spaces is already fully characterized in joint work by the author when n = 1 and L is nontrivial. For n > 1 , however, there are no previous results for L as a rational subspace, and only limited results for integer surgeries L ∩ Z n on S 3 . Herein, we provide the first nontrivial

    更新日期:2020-07-24
  • Cosmetic two‐strand twists on fibered knots
    J. Topol. (IF 1.642) Pub Date : 2020-07-20
    Carson Rogers

    Let K be a knot in a rational homology sphere M . This paper investigates the question of when modifying K by adding m > 0 half‐twists to two oppositely oriented strands, while keeping the rest of K fixed, produces a knot isotopic to K . Such a two‐strand twist of order m , as we define it, is a generalized crossing change when m is even and a non‐coherent band surgery when m = ± 1 . A cosmetic two‐strand

    更新日期:2020-07-24
  • Tropical Lagrangian hypersurfaces are unobstructed
    J. Topol. (IF 1.642) Pub Date : 2020-07-21
    Jeffrey Hicks

    We produce for each tropical hypersurface V ( ϕ ) ⊂ Q = R n a Lagrangian L ( ϕ ) ⊂ ( C ∗ ) n whose moment map projection is a tropical amoeba of V ( ϕ ) . When these Lagrangians are admissible in the Fukaya–Seidel category, we show that they are unobstructed objects of the Fukaya category, and mirror to sheaves supported on complex hypersurfaces in a toric mirror.

    更新日期:2020-07-24
  • Generalized cusps in real projective manifolds: classification
    J. Topol. (IF 1.642) Pub Date : 2020-07-21
    Samuel A. Ballas; Daryl Cooper; Arielle Leitner

    We study a generalized cusp C that is diffeomorphic to [ 0 , ∞ ) times a closed Euclidean manifold. Geometrically, C is the quotient of a properly convex domain in R P n by a lattice, Γ , in one of a family of affine Lie groups G ( ψ ) , parameterized by a point ψ in the (dual closed) Weyl chamber for SL ( n + 1 , R ) , and Γ determines the cusp up to equivalence. These affine groups correspond to

    更新日期:2020-07-24
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