TY - JOUR
T1 - Finite Type Link Homotopy Invariants II: Milnor's invariants
AU - Mellor, Blake
N1 - Mellor, B., 2000: Finite Type Link Homotopy Invariants II: Milnor's invariants. J. Knot Theory Ramif., 9.6, 735-758, arXiv:math/9812119.
PY - 2000
Y1 - 2000
N2 - We define a notion of finite type invariants for links with a fixed linking matrix. We show that Milnor's triple link homotopy invariant is a finite type invariant, of type 1, in this sense. We also generalize the approach to Milnor's higher order homotopy invariants and show that they are also, in a sense, of finite type. Finally, we compare our approach to another approach for defining finite type invariants within linking classes.
AB - We define a notion of finite type invariants for links with a fixed linking matrix. We show that Milnor's triple link homotopy invariant is a finite type invariant, of type 1, in this sense. We also generalize the approach to Milnor's higher order homotopy invariants and show that they are also, in a sense, of finite type. Finally, we compare our approach to another approach for defining finite type invariants within linking classes.
UR - https://digitalcommons.lmu.edu/math_fac/26
M3 - Article
VL - 9
SP - 735
EP - 758
JO - Journal of Knot Theory and its Ramifications
JF - Journal of Knot Theory and its Ramifications
IS - 6
ER -