Bibliographic Details
| 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] |
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| Database: |
Engineering Source |
