ON THE HOMOMORPHISM INDUCED BY REGION CROSSING CHANGE
Shimizu et al. defined an operation on link diagram D, called region crossing change. In this paper, we show that the region crossing change introduces a -linear map where denotes the set of the regions of D, and denotes the set of the crossings of D. Then, we give a basis of the kernel of j, which has neat geometric representatives.
response, knots and links, region crossing change, link diagram.