2014/12/10 by Marco Marengon, Marengon, Marco · 1 citation
Mathematics · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Advanced Operator Algebra Research
paper · pdf · doi:10.48550/arxiv.1412.3433
We prove that for particular infinite families of L-spaces, arising as branched double covers, the d-invariants defined by Ozsváth and Szabó are arbitrarily large and small. As a consequence, we generalise a result by Greene and Watson by proving, for every odd number Δ≥ 5, the existence of infinitely many non-quasi-alternating homologically thin knots with determinant Δ2, and a result by Hoffman and Walsh concerning the existence of hyperbolic weight 1 manifolds that are not surgery on a knot in S3.