publication . Other literature type . Preprint . Article . 2016

A subspecies of region crossing change, region freeze crossing change

Ayumu Inoue; Ryo Shimizu;
Open Access
  • Published: 21 Jun 2016
  • Publisher: World Scientific Pub Co Pte Lt
Abstract
We introduce a local move on a link diagram named a region freeze crossing change which is close to a region crossing change, but not the same. We study similarity and difference between region crossing change and region freeze crossing change.
Subjects
Medical Subject Headings: sense organsskin and connective tissue diseases
free text keywords: Mathematics - Geometric Topology, 57M25, Algebra and Number Theory, Subspecies, Geometry, Knot (unit), Mathematics, Link diagram
Related Organizations

1. K. Ahara and M. Suzuki, An integral region choice problem on knot projection, J. Knot Theory Ramifications 21 (2012), no. 11, 1250119, 20 pp.

2. M. Hashizume, On the image and the cokernel of homomorphism induced by region crossing change, JP J. Geom. Topol. 18 (2015), no. 2, 133-162.

3. K. Hayano, A. Shimizu and R. Shinjo, Region crossing change on spatial-graph diagrams, J. Knot Theory Ramifications 24 (2015), no. 8, 1550045, 12 pp.

4. A. Shimizu, Region crossing change is an unknotting operation, J. Math. Soc. Japan 66 (2014), no. 3, 693-708.

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6. C. ZhiYun and G. HongZhu, On region crossing change and incidence matrix, Sci. China Math. 55 (2012), no. 7, 1487-1495. Department of Mathematics Education, Aichi University of Education, Kariya, Aichi 448-8542, Japan E-mail address: ainoue@auecc.aichi-edu.ac.jp Okazakigakuen High School, Okazaki, Aichi 444-0071, Japan E-mail address: s2120304@auecc.aichi-edu.ac.jp

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