TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 362(10) 5501-5527 2010年10月 [査読有り]
We Introduce the notion of a quandle with a good involution and its homology groups Cartel et al defined quandle cocycle invariants for oriented links and oriented surface-links By use of good involutions, quandle cocyle invariants can be defined ...
TOPOLOGY AND ITS APPLICATIONS 157(5) 857-869 2010年4月 [査読有り]
Quandles with involutions that satisfy certain conditions, called good involutions, can be used to color non-orientable surface-knots. We use subgroups of signed permutation matrices to construct non-trivial good involutions on extensions of odd o...
ALGEBRAIC AND GEOMETRIC TOPOLOGY 10(2) 853-865 2010年 [査読有り]
For any positive integer n, we give a 2-component surface-link F = F(1) boolean OR F(2) such that F(1) is orientable, F(2) is non-orientable and the triple point number of F is equal to 2n. To give lower bounds of the triple point numbers, we use ...
上智大学
理工学部