Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Virtual Legendrian isotopy

100%

Chernov V., Sadykov R.

Fundamenta Mathematicae

2016

tom 234

nr 2

127-137

An elementary stabilization of a Legendrian knot L in the spherical cotangent bundle ST*M of a surface M is a surgery that results in attaching a handle to M along two discs away from the image in M of the projection of the knot L. A virtual Legendrian isotopy is a composition of stabilizations, destabilizations and Legendrian isotopies. A class of virtual Legendrian isotopy is called a virtual Legendrian knot. In contrast to Legendrian knots, virtual Legendrian knots enjoy the property that there is a bijective correspondence between the virtual Legendrian knots and the equivalence classes of Gauss diagrams. We study virtual Legendrian knots and show that every such class contains a unique irreducible representative. In particular we get a solution to the following conjecture of Cahn, Levi and the first author: two Legendrian knots in ST*S² that are isotopic as virtual Legendrian knots must be Legendrian isotopic in ST*S².

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Chernov V.

1 Sadykov R.

1 2016

Wyniki wyszukiwania

Virtual Legendrian isotopy