Algebraic and Geometric Topology 16(4) 2443-2458 2016年9月 [査読有り]
The Roseman moves are seven types of local modifications for surface-link diagrams in 3-space which generate ambient isotopies of surface-links in 4-space. In this paper, we focus on Roseman moves involving triple points, one of which is the famou...
TOPOLOGY AND ITS APPLICATIONS 196 551-557 2015年12月 [査読有り]
D. Roseman introduced seven types of local transformations of surface-link diagrams. It is known that a particular type can be realized by the other six types. There is another type that can be realized by the other six types. We show that any typ...
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS 23(13) 1450071, 14pp 2014年11月 [査読有り]
The clasp number c(K) of a knot K is the minimum number of clasp singularities among all clasp disks bounded by K. It is known that the genus g(K) and the unknotting number u(K) are lower bounds of the clasp number, that is, max{g(K), u(K)} <= ...
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