On Witten’s 3-manifold Invariants

By Kevin Walker. 2003

172 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/e870a1b4ebcfa143428b9fcea7fec88c5e249e1a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Citations in the corpus

Non-Abelian Anyons and Topological Quantum Computation (2007, background): “…= ∑ x SaxSbxSc̄x S1x (33) Consequently, the quantum dimension of a particle of species a is: da = S1a S11 (34) The mathematical structure encapsulating these braiding and fusion rules is amodular tensor category (Bakalov and Kirillov, 2001; Kassel, 1995; Kitaev, 2006; Turaev, 1994; Walker, 1991).”
Topological M-theory as unification of form theories of gravity (2004, methodology): “Furthermore, it has been shown by Turaev [21] and Walker [22] that the Turaev-Viro invariant is equal to the square of the partition function in SU(2) Chern-Simons theory (also known as the Reshetikhin-TuraevWitten invariant [23,24]): TV (M) = |ZSU(2)(M)|(2) (3.”
Categorification of the Jones-Wenzl Projectors (2010, background): “2/ representations, the colored Jones polynomial and many constructions of Chern–Simons theory; see [14], [26], [25], [2], [3], and [27].”
Integrality for TQFTs (2001, unknown): “Q A ] 1 4 Ja n”
Knot Diagrammatics (2004, background): “The invariants associated with this integral have been given rigorous combinatorial descriptions [133], [150], [93], [105], [153], [73], but questions and conjectures arising from the integral formulation are still outstanding.”
GEOMETRIC CONSTRUCTION OF MODULAR FUNCTORS FROM CONFORMAL FIELD THEORY (2003, background): “ular functor We shall in this section give the axioms for a modular functor. These are due to G. Segal and appeared ﬁrst in [15]. We present them here in a topological form, which is due to K. Walker [20]. See also [11]. We note that similar, but diﬀerent, axioms for a modular functor are given in [”