Milnor link invariants and quantum 3-manifold invariants
نویسندگان
چکیده
منابع مشابه
Milnor ’ S Isotopy Invariants and Generalized Link
It has long been known that a Milnor invariant with no repeated index is an invariant of link homotopy. We show that Milnor’s invariants with repeated indices are invariants not only of isotopy, but also of self Ck-moves. A self Ck-move is a natural generalization of link homotopy based on certain degree k clasper surgeries, which provides a filtration of link homotopy classes.
متن کامل3-manifold Invariants from Cosets
We construct unitary modular categories for a general class of coset conformal field theories based on our previous study of these theories in the algebraic quantum field theory framework using subfactor theory. We also consider the calculations of the corresponding 3-manifold invariants. It is shown that under certain index conditions the link invaraints colored by the representations of coset...
متن کاملOn Witten’s 3-manifold Invariants
I distributed a preliminary version of some notes on Witten's recently discovered 3-manifold invariants. For various reasons the paper was never completed and published. Nevertheless, many people have told me that they still find the 1991 notes to be useful. For this reason, I have prepared this version of the notes which is distributable in electronic form. I have not attempted to correct, com...
متن کاملIntegrality of Quantum 3–manifold Invariants and Rational Surgery Formula
We prove that the Witten–Reshetikhin–Turaev (WRT) SO(3) invariant of an arbitrary 3–manifold M is always an algebraic integer. Moreover, we give a rational surgery formula for the unified invariant dominating WRT SO(3) invariants of rational homology 3–spheres at roots of unity of order co–prime with the torsion. As an application, we compute the unified invariant for Seifert fibered spaces and...
متن کاملA Note on Quantum 3-manifold Invariants and Hyperbolic Volume
For a closed, oriented 3-manifold M and an integer r > 0, let τr(M) denote the SU(2) Reshetikhin-Turaev-Witten invariant of M , at level r. We show that for every n > 0, and for r1, . . . , rn > 0 sufficiently large integers, there exist infinitely many non-homeomorphic hyperbolic 3-manifolds M , all of which have different hyperbolic volume, and such that τri(M) = 1, for i = 1, . . . , n.
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: Commentarii Mathematici Helvetici
سال: 1999
ISSN: 0010-2571,1420-8946
DOI: 10.1007/s000140050092