Finite type {3}-manifold invariants, the mapping class group and blinks
نویسندگان
چکیده
منابع مشابه
Finite Type 3-manifold Invariants, the Mapping Class Group and Blinks
The goal of the present paper is to find higher genus surgery formulas for the set of finite type invariants of integral homology 3-spheres, and to develop a theory of finite type invariants which will be applied in a subsequent publication [GL3] in the study of subgroups of the mapping class group. The main result is to show that six filtrations on the vector space generated by oriented integr...
متن کاملFinite Type Invariants , the Mapping Class Group and Blinks
Motivated by the lower central series of three important subgroups of the mapping class group, and by the recent ideas of p-branes in string theory, we introduce a notion of blinks and BL-type invariants of oriented integral homology 3-spheres. In the rst part of the paper we show that the ltrations (on the vector space generated by oriented integral homology 3-spheres) coming from these subgro...
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 کاملOn Finite Type 3-manifold Invariants I
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...
متن کاملOn 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 ...
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: Journal of Differential Geometry
سال: 1997
ISSN: 0022-040X
DOI: 10.4310/jdg/1214460113