作者：Casian, L; Stanton, RJ
作者单位：University System of Ohio; Ohio State University
作者：Gaffney, T; Kleiman, SL
作者单位：Northeastern University; Massachusetts Institute of Technology (MIT)
摘要：We establish the principle of specialization of integral dependence for submodules of finite colength of free modules, as part of the general algebraic-geometric theory of the Buchsbaum-Rim multiplicity. Then we apply the principle to the study of equisingularity of ICIS germs, obtaining results for Whitney's Condition A and Them's Condition A(f). Notably, we describe these equisingularity conditions for analytic families in terms of various numerical invariants, which, for the most part, depe...
作者：Le, TTQ
作者单位：State University of New York (SUNY) System; University at Buffalo, SUNY
摘要：The integrality of the Kontsevich integral and perturbative invariants is discussed. It is shown that the denominator of the degree n part of the Kontsevich integral of any knot or link is a divisor of (2!3!... n!)(4)(n + 1)!. We prove this by establishing the existence of a Drinfeld's associator in the space of chord diagrams with special denominators. We also show that the denominator of the degree n part of the universal perturbative invariant of homology 3-spheres is not divisible by any p...
