Exotic Mazur manifolds exist, and the knot Floer invariant ν is shown to be an invariant of knot traces, yielding counterexamples to a conjecture in Kirby's problem list.
Bordered knot algebras with matchings
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
This paper generalizes the bordered-algebraic knot invariant introduced in an earlier paper, giving an invariant now with more algebraic structure. It also introduces signs to define these invariants with integral coefficients. We describe effective computations of the resulting invariant.
fields
math.GT 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Exotic Mazur manifolds and knot trace invariants
Exotic Mazur manifolds exist, and the knot Floer invariant ν is shown to be an invariant of knot traces, yielding counterexamples to a conjecture in Kirby's problem list.