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Bordered knot algebras with matchings

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arxiv 1707.00597 v3 pith:57HANMMR submitted 2017-07-03 math.GT math.QAmath.SG

Peter S. Ozsvath , Zoltan Szabo This is my paper · ORCID
classification math.GTmath.QAmath.SG
keywords invariantknotalgebraicalgebrasborderedbordered-algebraiccoefficientscomputations
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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.

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  1. Exotic Mazur manifolds and knot trace invariants

    math.GT 2019-08 conditional novelty 8.0 of 10

    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.

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