منابع مشابه
Finite Type Invariants
This is an overview article on finite type invariants, written for the Encyclopedia of Mathematical
متن کاملFinite Type Invariants
This is an overview article on finite type invariants, written for the Encyclopedia of Mathematical Physics.
متن کاملFinite Type Invariants for Knots
We use the Jaco-Shalen and Johannson theory of the characteristic submanifold and the Torus theorem (Gabai, Casson-Jungreis) to develop an intrinsic finite tvne theory for knots in irreducible 3-manifolds. We also establish _ __ a relation between finite type knot invariants in 3-manifolds and these in R3. existence of non-trivial finite type invariants for knots in irreducible 3-manifolds. rig...
متن کاملFinite Type Invariants and Milnor Invariants for Brunnian Links
A link L in the 3-sphere is called Brunnian if every proper sublink of L is trivial. In a previous paper, the first author proved that the restriction to Brunnian links of any Goussarov-Vassiliev finite type invariant of (n + 1)component links of degree < 2n is trivial. The purpose of this paper is to study the first nontrivial case. We show that the restriction of an invariant of degree 2n to ...
متن کاملCubic complexes and finite type invariants
Cubic complexes appear in the theory of finite type invariants so often that one can ascribe them to basic notions of the theory. In this paper we begin the exposition of finite type invariants from the ‘cubic’ point of view. Finite type invariants of knots and homology 3-spheres fit perfectly into this conception. In particular, we get a natural explanation why they behave like polynomials. AM...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2010
ISSN: 0001-8708
DOI: 10.1016/j.aim.2010.04.008