We introduce a polynomial invariant of virtual magnetic link diagrams. For virtual links, this polynomial equals the polynomial invariant defined in [3]. We show that it gives lower bounds of the classical crossing number and the virtual crossing number of virtual links. Also we give various properties of this polynomial and examples.
机构:
Korea Adv Inst Sci & Technol, Dept Math & Comp Sci, Korea Sci Acad, 111 Baekyang, Busan 47162, South KoreaKorea Adv Inst Sci & Technol, Dept Math & Comp Sci, Korea Sci Acad, 111 Baekyang, Busan 47162, South Korea
机构:
Nagoya City Univ, Grad Sch Nat Sci, Mizuho Ku, 1 Yamanohata,Mizuho Cho, Nagoya, Aichi 4678501, JapanNagoya City Univ, Grad Sch Nat Sci, Mizuho Ku, 1 Yamanohata,Mizuho Cho, Nagoya, Aichi 4678501, Japan