Torus bundles not distinguished by TQFT invariants
نویسندگان
چکیده
منابع مشابه
Integral Tqft for a One-holed Torus
We give new explicit formulas for the representations of the mapping class group of a genus one surface with one boundary component which arise from Integral TQFT. Our formulas allow one to compute the h-adic expansion of the TQFT-matrix associated to a mapping class in a straightforward way. Truncating the h-adic expansion gives an approximation of the representation by representations into fi...
متن کاملTorus Bundles over a Torus
1. If a compact Lie group P acts on a completely regular topological space E then E is said to be a principal P-bundle if whenever the relation px — x holds for pÇzP, x£E it follows that p = e, the identity of P. The orbit space X = E/P is called the base space and the map tt: E—>X carrying y into its orbit P-y is called the projection. Suppose now that G is a Lie group, 77i a closed subgroup o...
متن کاملSelf-mapping degrees of torus bundles and torus semi-bundles
Each closed oriented 3-manifoldM is naturally associated with a set of integersD(M), the degrees of all self-maps on M . D(M) is determined for each torus bundle and torus semi-bundle M . The structure of torus semi-bundle is studied in detail. The paper is a part of a project to determine D(M) for all 3-manifolds in Thurston’s picture.
متن کاملTorsion, TQFT, and Seiberg–Witten invariants of 3–manifolds
We prove a conjecture of Hutchings and Lee relating the Seiberg–Witten invariants of a closed 3–manifold X with b1 ≥ 1 to an invariant that “counts” gradient flow lines—including closed orbits—of a circle-valued Morse function on the manifold. The proof is based on a method described by Donaldson for computing the Seiberg–Witten invariants of 3–manifolds by making use of a “topological quantum ...
متن کاملVassiliev Invariants for Torus Knots
Vassiliev invariants up to order six for arbitrary torus knots {n,m}, with n and m coprime integers, are computed. These invariants are polynomials in n and m whose degree coincide with their order. Furthermore, they turn out to be integer-valued in a normalization previously proposed by the authors. ⋆ e-mail: [email protected]
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: Geometry & Topology
سال: 2013
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2013.17.2289