منابع مشابه
State-Sum Invariants of 4-Manifolds, I
Abstract: We provide, with proofs, a complete description of the authors’ construction of state-sum invariants announced in [CY], and its generalization to an arbitrary (artinian) semisimple tortile category. We also discuss the relationship of these invariants to generalizations of Broda’s surgery invariants [Br1,Br2] using techniques developed in the case of the semi-simple sub-quotient of Re...
متن کاملState Sum Invariants of Compact 3-manifolds with Boundary and 6j-symbols. *
We extend the combinatorial construction of invariants of smooth, compact closed 3-manifolds as given by Turaev and Viro to obtain invariants of 3-manifolds with boundary. The technique uses quantum 6j-symbols associated to the quantized universal enveloping algebra U q (s`(2; C)) (q a root of unity) to give a construction of a state sum for given triangulation. This state sum is then invariant...
متن کاملSkein Invariants of Links and Their State Sum Models
We present the new skein invariants of classical links, H[H], K[K] and D[D], based on the invariants of links, H, K and D, denoting the regular isotopy version of the Homflypt polynomial, the Kauffman polynomial and the Dubrovnik polynomial. The invariants are obtained by abstracting the skein relation of the corresponding invariant and making a new skein algorithm comprising two computational ...
متن کاملTowards relative invariants of real symplectic 4-manifolds
Let (X,ω, cX ) be a real symplectic 4-manifold with real part RX. Let L ⊂ RX be a smooth curve such that [L] = 0 ∈ H1(RX;Z/2Z). We construct invariants under deformation of the quadruple (X,ω, cX , L) by counting the number of real rational J-holomorphic curves which realize a given homology class d, pass through an appropriate number of points and are tangent to L. As an application, we prove ...
متن کاملInvariants of Smooth 4-Manifolds via Vassiliev Theory
After modifying the usual combinatorial constructions of framed Vassiliev theory by introducing base-points on each component of a framed link, we describe a basis for the space of dual weight systems of second order. We show that the linking matrix can be recovered from the coefficient vector, and construct an action of the unimodular group on the coefficient vector. In the case where the fram...
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ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 1997
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216597000145