Almost integral TQFTs from simple Lie algebras.
Chen, Qi, Le, Thang (2005)
Algebraic & Geometric Topology
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Displaying similar documents to “The Kontsevich integral and quantized Lie superalgebras.”
Almost integral TQFTs from simple Lie algebras.
The universal Vassiliev-Kontsevich invariant for framed oriented links
Tu Quoc Thang Le, Jun Murakami (1996)
Compositio Mathematica
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Infinitely many two-variable generalisations of the Alexander-Conway polynomial.
De Wit, David, Ishii, Atsushi, Links, Jon (2005)
Algebraic & Geometric Topology
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The Kontsevich integral and re-normalized link invariants arising from Lie superalgebras
Nathan Geer (2014)
Banach Center Publications
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We show that the coefficients of the re-normalized link invariants of [3] are Vassiliev invariants which give rise to a canonical family of weight systems.
Skein theory for -quantum invariants.
Sikora, Adam S. (2005)
Algebraic & Geometric Topology
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HKR-type invariants of 4-thickenings of 2-dimensional CW complexes.
Bobtcheva, Ivelina, Messia, Maria Grazia (2003)
Algebraic & Geometric Topology
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Hopf diagrams and quantum invariants.
Bruguiéres, Alain, Virelizier, Alexis (2005)
Algebraic & Geometric Topology
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Refined quantum invariants for three-manifolds with structure
Christian Blanchet (1998)
Banach Center Publications
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Finite type invariants of integral homology 3-spheres: A survey
Xiao-Song Lin (1998)
Banach Center Publications
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Constructing invariants for finite groups.
Plesken, W., Robertz, D. (2005)
Experimental Mathematics
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Link invariants from finite biracks
Sam Nelson (2014)
Banach Center Publications
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A birack is an algebraic structure with axioms encoding the blackboard-framed Reidemeister moves, incorporating quandles, racks, strong biquandles and semiquandles as special cases. In this paper we extend the counting invariant for finite racks to the case of finite biracks. We introduce a family of biracks generalizing Alexander quandles, (t,s)-racks, Alexander biquandles and Silver-Williams switches, known as (τ,σ,ρ)-biracks. We consider enhancements of the counting invariant using...
A TQFT for Wormhole cobordisms over the field of rational functions
Patrick Gilmer (1998)
Banach Center Publications
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We consider a cobordism category whose morphisms are punctured connected sums of ’s (wormhole spaces) with embedded admissibly colored banded trivalent graphs. We define a TQFT on this cobordism category over the field of rational functions in an indeterminant A. For r large, we recover, by specializing A to a primitive 4rth root of unity, the Witten-Reshetikhin-Turaev TQFT restricted to links in wormhole spaces. Thus, for r large, the rth Witten-Reshetikhin-Turaev invariant of a link...