ON THE IMAGE AND THE COKERNEL OF HOMOMORPHISM INDUCED BY REGION CROSSING CHANGE
Ayaka Shimizu defined a local transformation on a link diagram D called region crossing change. The author introduced a -linear space structures on and where denotes the set of the regions (resp. the set of the crossings) of D, and observed that the region crossing changes on Dinduce a -linear map In this paper, we discuss the image of j and the cokernel of j. In fact, we give a generating system of Imjand a representative of Cokerj.
region crossing change, link diagram, 4-valent graph.