FINITE TYPE CURVE IN 3-DIMENSIONAL SASAKIAN MANIFOLD
نویسندگان
چکیده
منابع مشابه
On Finite Type 3-manifold Invariants Iii: Manifold Weight Systems
The present paper is a continuation of [Oh2] and [GL] devoted to the study of finite type invariants of integral homology 3-spheres. We introduce the notion of manifold weight systems, and show that type m invariants of integral homology 3-spheres are determined (modulo invariants of type m − 1) by their associated manifold weight systems. In particular we deduce a vanishing theorem for finite ...
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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...
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Recently Ohtsuki Oh2], motivated by the notion of nite type knot invariants, introduced the notion of nite type invariants for oriented, integral ho-mology 3-spheres (ZHS for short). In the present paper we propose another definition of nite type invariants of Z HS and give equivalent reformulations of our notion. We show that our invariants form a ltered commutative algebra and are of nite typ...
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متن کاملThe Alexander Polynomial and Finite Type 3-manifold Invariants
Using elementary counting methods, we calculate the universal invariant (also known as the LMO invariant) of a 3-manifold M , satisfying H1(M,Z) = Z, in terms of the Alexander polynomial of M . We show that +1 surgery on a knot in the 3-sphere induces an injective map from finite type invariants of integral homology 3-spheres to finite type invariants of knots. We also show that weight systems ...
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ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2010
ISSN: 1015-8634
DOI: 10.4134/bkms.2010.47.6.1163