ABSTRACT
In the present chapter, we are going to give a generalisation of the Jones-Kauffman polynomial for virtual knots by adding some “extra information” to it, namely, some objects connected with curves in 2-surfaces (for a short version see [Ma’7]). In the second part of the chapter, we are going to consider the minimality aspects in virtual knot theory and give a proof of the generalised Murasugi theorem (short version in [Ma’6]).
