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The Lee spectral sequence, unknotting number, and the Knight Move Conjecture.

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Τίτλος: The Lee spectral sequence, unknotting number, and the Knight Move Conjecture.
Συγγραφείς: Alishahi, Akram1 alishahi@math.columbia.edu, Dowlin, Nathan1 ndowlin@math.columbia.edu
Πηγή: Topology & Its Applications. Mar2019, Vol. 254, p29-38. 10p.
Θεματικοί όροι: *Numerical analysis, *Spectral sequences (Mathematics)
Περίληψη: Abstract We show that the page at which the Lee spectral sequence collapses gives a bound on the unknotting number, u (K). In particular, for knots with u (K) ≤ 2 , we show that the Lee spectral sequence must collapse at the E 2 page. An immediate corollary is that the Knight Move Conjecture is true when u (K) ≤ 2. [ABSTRACT FROM AUTHOR]
Βάση Δεδομένων: Academic Search Index
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  – Url: https://www.doi.org/10.1016/j.topol.2018.11.020?
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  Data: The Lee spectral sequence, unknotting number, and the Knight Move Conjecture.
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  Data: <searchLink fieldCode="AR" term="%22Alishahi%2C+Akram%22">Alishahi, Akram</searchLink><relatesTo>1</relatesTo><i> alishahi@math.columbia.edu</i><br /><searchLink fieldCode="AR" term="%22Dowlin%2C+Nathan%22">Dowlin, Nathan</searchLink><relatesTo>1</relatesTo><i> ndowlin@math.columbia.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22Topology+%26+Its+Applications%22">Topology & Its Applications</searchLink>. Mar2019, Vol. 254, p29-38. 10p.
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  Data: Abstract We show that the page at which the Lee spectral sequence collapses gives a bound on the unknotting number, u (K). In particular, for knots with u (K) ≤ 2 , we show that the Lee spectral sequence must collapse at the E 2 page. An immediate corollary is that the Knight Move Conjecture is true when u (K) ≤ 2. [ABSTRACT FROM AUTHOR]
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        Value: 10.1016/j.topol.2018.11.020
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      – Code: eng
        Text: English
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        PageCount: 10
        StartPage: 29
    Subjects:
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Spectral sequences (Mathematics)
        Type: general
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      – TitleFull: The Lee spectral sequence, unknotting number, and the Knight Move Conjecture.
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              Text: Mar2019
              Type: published
              Y: 2019
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              Value: 254
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            – TitleFull: Topology & Its Applications
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