A factorization of the Conway polynomial and covering linkage invariants

�˖{ �B�� �� �i����c��w�j

�T���Q�O���i�؁j�@16:00 ~ 17:30

����c��w���H�w���i��v�ۃL�����p�X�j�T�P���قP�W�K�P�W�|�P�Q����

�T�v�FJ.P. Levin showed that the Conway polynomial of a link is a product of two factors: one is the Conway polynomial of a knot which is obtained from the link by banding together the components; and the other is determined by the ��-invariants of the link. We show another description of the latter factor. Namely it is a determinant of a matrix whose entries are linking pairings in the infinite cyclic covering space of the knot complement. Moreover if the link admits a certain condition, the first non-vanishing coefficient of the Conway polynomial of the link is obtained. In fact the coefficient is determined by using an idea of derivation defined by T.D. Cochran.

---

���b�l�F�@����@���@�i����c��w���H�w�������Ȋw�ȁj

e-mail: [email protected]