Український математичний конгрес - 2009

Ilia Tavkhelidze (Iv. Javakhishvili Tbilisi State University, Georgia)

About connection of generalized Möbius Listing's surfaces with sets of knots and links

Some geometric objects knot or links appear after ''cutting'' of generalized Möbius Listing's surfaces GLMmn along the set of lines ''parallel'' to its ''basic line''. Numbers and type of resulting mathematical objects, which depends from ''cutting'  k numbers and from parameters of surfaces m and n is established in present report. Sometime, in particular cases, for surfaces GLM2n, topologic class of the resulting mathematical objects is established.