Algebra-Topology Seminar and University Seminar: Manturov Projection for Virtual Legendrian Knots.

Speaker: Vladimir Chernov (Dartmouth College)

Time, Place: Thursday December 4, 4:45-5:45 pm TBA

Title: Manturov Projection for Virtual Legendrian Knots.

Abstract: Virtual Legendrian knots are Legendrian knots in the Spherical Cotangent Bundle ST^*F of a surface up to isotopy and stabilization-destabilization

of the surface away from the front projection of a knot. They are closely related to the study of Causality in Singular Lorentz Manifolds equipped with the singular Morse time function.

We generalize Manturov Projection to such knots and use it to show that the virtual minimal crossing number for them equals usual minimal crossing number.

We get a similar result for the virtual canonical genus. This work is joint with Rustam Sadykov from KSU