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Conjectures about virtual Legendrian knots and links.

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Title: Conjectures about virtual Legendrian knots and links.
Authors: Chernov, Vladimir1 (AUTHOR) Vladimir.Chernov@dartmouth.edu, Sadykov, Rustam2 (AUTHOR) Sadykov@math.ksu.edu
Source: Journal of Geometry & Physics. Nov2023, Vol. 193, pN.PAG-N.PAG. 1p.
Subjects: Logical prediction, Spacetime, Knot theory, Self, Cusp forms (Mathematics), Fibers
Abstract: We formulate conjectures generalizing some known results to the category of virtual Legendrian knots. This includes statements relating virtual Legendrian knots to ordinary Legendrian knots, non-existence of positive virtual Legendrian self isotopies for the class of the fiber of S T ⁎ M and the conjectural relation of virtual Legendrian isotopies to causality in generalized spacetimes. We prove the conjectures in the case of 2-dimensional M and (2 + 1) -dimensional spacetimes. We also formulate and prove the version of the Arnold's 4 cusp conjecture for virtual isotopies. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Geometry & Physics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 171990514
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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  Data: Conjectures about virtual Legendrian knots and links.
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  Data: <searchLink fieldCode="AR" term="%22Chernov%2C+Vladimir%22">Chernov, Vladimir</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> Vladimir.Chernov@dartmouth.edu</i><br /><searchLink fieldCode="AR" term="%22Sadykov%2C+Rustam%22">Sadykov, Rustam</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> Sadykov@math.ksu.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Geometry+%26+Physics%22">Journal of Geometry & Physics</searchLink>. Nov2023, Vol. 193, pN.PAG-N.PAG. 1p.
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  Data: <searchLink fieldCode="DE" term="%22Logical+prediction%22">Logical prediction</searchLink><br /><searchLink fieldCode="DE" term="%22Spacetime%22">Spacetime</searchLink><br /><searchLink fieldCode="DE" term="%22Knot+theory%22">Knot theory</searchLink><br /><searchLink fieldCode="DE" term="%22Self%22">Self</searchLink><br /><searchLink fieldCode="DE" term="%22Cusp+forms+%28Mathematics%29%22">Cusp forms (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Fibers%22">Fibers</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: We formulate conjectures generalizing some known results to the category of virtual Legendrian knots. This includes statements relating virtual Legendrian knots to ordinary Legendrian knots, non-existence of positive virtual Legendrian self isotopies for the class of the fiber of S T ⁎ M and the conjectural relation of virtual Legendrian isotopies to causality in generalized spacetimes. We prove the conjectures in the case of 2-dimensional M and (2 + 1) -dimensional spacetimes. We also formulate and prove the version of the Arnold's 4 cusp conjecture for virtual isotopies. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Geometry & Physics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1016/j.geomphys.2023.104962
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      – Code: eng
        Text: English
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        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Logical prediction
        Type: general
      – SubjectFull: Spacetime
        Type: general
      – SubjectFull: Knot theory
        Type: general
      – SubjectFull: Self
        Type: general
      – SubjectFull: Cusp forms (Mathematics)
        Type: general
      – SubjectFull: Fibers
        Type: general
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      – TitleFull: Conjectures about virtual Legendrian knots and links.
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            NameFull: Chernov, Vladimir
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            NameFull: Sadykov, Rustam
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            – D: 01
              M: 11
              Text: Nov2023
              Type: published
              Y: 2023
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              Value: 193
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            – TitleFull: Journal of Geometry & Physics
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