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Theitô Formula for Quantum Semimartingales
Author(s) -
VincentSmith GF
Publication year - 1997
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/s0024611597000476
Subject(s) - mathematics , isotopy , pure mathematics , nilpotent , homogeneous space , link (geometry) , isomorphism (crystallography) , quotient , braid , type (biology) , noncommutative geometry , algebra over a field , combinatorics , ecology , chemistry , geometry , crystal structure , biology , crystallography , materials science , composite material
We construct a sequence of concordance invariants for classical links, which depend on the peripheral isomorphism type of the nilpotent quotients of the link fundamental group. The terminology stems from the fact that we replace the Magnus expansion in the definition of Milnor'sμ ¯ ‐invariants by the similar Campbell–Hausdorff expansion. The main point is that we introduce a new universal indeterminacy, which depends only on the number of components of the link. The Campbell–Hausdorff invariants are new, effectively computable and can efficiently distinguish (unordered and unoriented) isotopy types of links, as we indicate on several families of closed braid examples. They also satisfy certain natural dependence relations, which generalize well‐known symmetries of theμ ¯ ‐invariants. 1991 Mathematics Subject Classification : 81S25, 46L10, 46L50, 47A60.