pith. sign in

Lens space surgeries and L-space homology spheres

· 2007 · math.GT · arXiv 0710.2531

1 Pith paper cite this work. Polarity classification is still indexing.

1 Pith paper citing it
open full Pith review browse 1 citing papers arXiv PDF
abstract

We describe necessary and sufficient conditions for a knot in an L-space to have an L-space homology sphere surgery. We use these conditions to reformulate a conjecture of Berge about which knots in S^3 admit lens space surgeries.

fields

math.GT 1

years

2024 1

verdicts

UNVERDICTED 1

representative citing papers

The search for alternating surgeries

math.GT · 2024-09-15 · unverdicted · novelty 7.0

Alternating surgery slopes are algorithmically computable, with explicit computations for many knots and a bound |p/q| ≤ 3g(K)+4 on hyperbolic knots.

citing papers explorer

Showing 1 of 1 citing paper.

  • The search for alternating surgeries math.GT · 2024-09-15 · unverdicted · none · ref 51 · internal anchor

    Alternating surgery slopes are algorithmically computable, with explicit computations for many knots and a bound |p/q| ≤ 3g(K)+4 on hyperbolic knots.