...$3$-manifold may be obtained as the result of [[Surgery|surgery]] on some framed link in the $3$-sphere.
...o operations (the calculus) on a framed link and proved that two different framed links, $L$ and $L'$, yield the same $3$-manifold if and only if one can pas
2 KB (398 words) - 08:53, 25 August 2014
An invariant of framed [[Surgery|surgery]] of a closed 6- or 14-dimensional framed manifold.
has a framed surgery to the pair $ ( S ^ {6} , V ) $
3 KB (435 words) - 17:53, 20 January 2022
''framed manifold''
corresponding to this imbedding. Framed manifolds were introduced around 1950 (see [[#References|[1]]]) in order to
3 KB (519 words) - 19:21, 17 January 2024
Define a framed link $ {\mathsf L} $
there exists a framed link $ {\mathsf L} \subset S ^ {3} $
7 KB (1,038 words) - 11:33, 26 March 2023
An invariant of framed constructions of surfaces with a given framing. Let $ ( M ^ {2} , U ) $
admits a framed surgery to the pair $ ( S ^ {2} , U ) $
4 KB (529 words) - 17:40, 5 April 2023
...imensions on the choice of the framing, that is, it is an invariant of the framed surgery of the pair $ ( M ^ {4k+ 2} , f _ {r} ) $,
has a framed surgery to the pair $ ( S ^ {4k+ 2} , f _ {r} ) $
9 KB (1,216 words) - 05:30, 4 January 2022
...es (cf. also [[Braid theory]], [[Braided group]]). One has also considered framed tangles and graph tangles. The category of tangles, with boundary points as
2 KB (336 words) - 09:53, 16 March 2023
An invariant of unoriented framed links.
...nomial of one variable associated to ambient isotopy classes of unoriented framed links in $\mathbf{R} ^ { 3 }$ (or $S ^ { 3 }$), constructed by L.H. Kauffma
7 KB (1,054 words) - 07:42, 10 February 2024
...is also a canonical (up to diffeomorphism) embedded collection of normally framed circles $\mu_1,\dots,\mu_{k_++k_-}$ in $\partial K\setminus C$, with the pr
...of $C_i$ and $\mu_i$ so as to match the canonical framings. The canonical framed circles of $T_n$ are those of the newly attached kinky handles. If one cont
7 KB (1,047 words) - 15:29, 4 October 2014
Kirby moves (cf. [[Kirby calculus]]) can be interpreted as tangle moves on framed links.
3 KB (466 words) - 18:11, 1 June 2023
...is defined on the manifold; the field itself is said to be a framing. Two framed manifolds $ X _ {0} , X _ {1} \subset \mathbf R ^ {i} $,
without boundary, are said to be cobordant if there exists a framed manifold $ Y \subset \mathbf R ^ {i} \times [ 0, 1] \subset \mathbf R
33 KB (4,248 words) - 08:17, 21 March 2022
...al $n$-frame bundle. A frame on $M$ is a section of the frame bundle and a framed manifold is a manifold provided with a frame.)
5 KB (893 words) - 11:45, 20 May 2017
...involving classical integral operators of Volterra type when the theory is framed in abstract spaces, see [[#References|[a2]]], [[#References|[a7]]], [[#Refe
5 KB (745 words) - 15:29, 13 July 2014
...dson identifies, for a classical group $G$, the moduli space of charge-$k$ framed $G$-instantons with the moduli spaces of based holomorphic $2$-spheres in $
5 KB (698 words) - 08:13, 15 February 2024
...dom variables $X_i$ with $\mathsf EX_i=0$, $\mathsf EX_i^2=1$. This can be framed in $C[0,1]$ by setting $S_0=0$ and $S_n(t)=n^{-1/2}\{S_{[nt]}+(nt-[nt])X_{[
4 KB (739 words) - 10:38, 23 November 2013
by attaching handles of index 2 along the components of some framed link $ L $
7 KB (1,016 words) - 08:40, 1 May 2023
...ds is the calculation of framed links by R.C. Kirby [[#References|[3]]]. A framed link is a finite set $ L $
A framed link $ L $
37 KB (5,599 words) - 11:39, 10 April 2023
...T.Q.T. Le, J. Murakami, "The universal Vassiliev-Kontsevich invariant for framed oriented links" ''Compositio Math.'' , '''102''' (1996) pp. 42–64 {{MR|13
10 KB (1,481 words) - 19:05, 23 January 2024
is stably parallelizable. The framed manifold obtained defines an element of the stable homotopy group $ \Pi _
10 KB (1,339 words) - 08:44, 18 March 2023
...it: connections, $G$-structures, characteristic classes, and also rigged (framed) manifolds. Of major importance in the development of differential topology
9 KB (1,298 words) - 14:59, 30 August 2014