Finite dimensional convex structures II: the invariants
نویسندگان
چکیده
منابع مشابه
FINITE TYPE LINK HOMOTOPY INVARIANTS II: Milnor’s ¯µ-invariants
We define a notion of finite type invariants for links with a fixed linking matrix. We show that Milnor's link homotopy invariant ¯ µ(ijk) is a finite type invariant, of type 1, in this sense. We also generalize this approach to Milnor's higher order ¯ µ invariants and show that they are also, in a sense, of finite type. Finally, we compare our approach to another approach for defining finite t...
متن کاملOn Finite Type 3-manifold Invariants Ii
The purpose of the present paper is, among other things, to relate the seemingly unrelated notions of surgical equivalence of links in S 3 ((Le1]) and the notion of nite type invariants of oriented integral homology 3-spheres, due to T. Ohtsuki Oh]. The paper consists of two parts. In the rst part we classify pure braids and string links modulo the relation of surgical equivalence. We prove tha...
متن کاملConvex Cones in Finite - Dimensional Real Vector
Various classes of nite-dimensional closed convex cones are studied. Equivalent characterizations of pointed cones, pyramids and rational pyramids are given. Special class of regular cones, corresponding to \continuous linear" quasiorderings of integer vectors is introduced and equivalently characterized. It comprehends both pointed cones and rational pyramids. Two diierent ways of determining ...
متن کاملOn 3-manifold Invariants Arising from Finite-dimensional Hopf Algebras
We reformulate Kauffman’s method of defining invariants of 3-manifolds intrinsically in terms of right integrals on certain finite dimensional Hopf algebras and define a type of universal invariants of framed tangles and invariants of 3-manifolds.
متن کاملNormal forms and invariants for 2-dimensional almost-Riemannian structures
Two-dimensional almost-Riemannian structures are generalized Riemannian structures on surfaces for which a local orthonormal frame is given by a Lie bracket generating pair of vector fields that can become collinear. Generically, there are three types of points: Riemannian points where the two vector fields are linearly independent, Grushin points where the two vector fields are collinear but t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1983
ISSN: 0166-8641
DOI: 10.1016/0166-8641(83)90009-3