A factorization of the Conway polynomial and covering linkage invariants

塚本 達也 氏 （早稲田大学）

５月２０日（木）　16:00 ~ 17:30

早稲田大学理工学部（大久保キャンパス）５１号館１８階１８−１２教室

概要：J.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 μ-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.

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世話人：　村上　順　（早稲田大学理工学部数理科学科）

e-mail: murakami@waseda.jp