Surgery on links of linking number zero and the Heegaard Floer $d$-invariant

Eugene Gorsky; Beibei Liu; Allison Moore

doi:10.4171/qt/137

Surgery on links of linking number zero and the Heegaard Floer $d$-invariant

Quantum Topology ◽

10.4171/qt/137 ◽

2020 ◽

Vol 11 (2) ◽

pp. 323-378

Author(s):

Eugene Gorsky ◽

Beibei Liu ◽

Allison Moore

Keyword(s):

Linking Number ◽

Heegaard Floer

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Dataset on the effects of spermidine on linking number differences between histone H1-free and histone H1-bound circular polynucleosomes

Data in Brief ◽

10.1016/j.dib.2018.01.091 ◽

2018 ◽

Vol 17 ◽

pp. 709-715 ◽

Cited By ~ 1

Author(s):

Hao Zhang ◽

Tianhu Li

Keyword(s):

Histone H1 ◽

Linking Number

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On independence of iterated Whitehead doubles in the knot concordance group

Journal of Knot Theory and Its Ramifications ◽

10.1142/s0218216518500037 ◽

2018 ◽

Vol 27 (01) ◽

pp. 1850003

Author(s):

Kyungbae Park

Keyword(s):

Correction Term ◽

Khovanov Homology ◽

Floer Theory ◽

Knot Concordance ◽

Torus Knot ◽

Linearly Independent ◽

Heegaard Floer

Let [Formula: see text] be the positively clasped untwisted Whitehead double of a knot [Formula: see text], and [Formula: see text] be the [Formula: see text] torus knot. We show that [Formula: see text] and [Formula: see text] are linearly independent in the smooth knot concordance group [Formula: see text] for each [Formula: see text]. Further, [Formula: see text] and [Formula: see text] generate a [Formula: see text] summand in the subgroup of [Formula: see text] generated by topologically slice knots. We use the concordance invariant [Formula: see text] of Manolescu and Owens, using Heegaard Floer correction term. Interestingly, these results are not easily shown using other concordance invariants such as the [Formula: see text]-invariant of knot Floer theory and the [Formula: see text]-invariant of Khovanov homology. We also determine the infinity version of the knot Floer complex of [Formula: see text] for any [Formula: see text] generalizing a result for [Formula: see text] of Hedden, Kim and Livingston.

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A rigorous numerical algorithm for computing the linking number of links

Nonlinear Theory and Its Applications IEICE ◽

10.1587/nolta.4.104 ◽

2013 ◽

Vol 4 (1) ◽

pp. 104-110 ◽

Cited By ~ 7

Author(s):

Zin Arai

Keyword(s):

Numerical Algorithm ◽

Linking Number

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FIELD THEORY OF N ENTANGLED POLYMERS

International Journal of Modern Physics B ◽

10.1142/s0217979200002570 ◽

2000 ◽

Vol 14 (32) ◽

pp. 3881-3895 ◽

Cited By ~ 10

Author(s):

FRANCO FERRARI ◽

HAGEN KLEINERT ◽

IGNAZIO LAZZIZZERA

Keyword(s):

Field Theory ◽

Canonical Ensemble ◽

Feynman Diagrams ◽

Linking Number ◽

Entangled Polymers

We formulate a field theory capable of describing a canonical ensemble of N polymers subjected to linking number constraints in terms of Feynman diagrams.

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