Louis H. Kauffman is Professor of Mathematics at the University of Illinois, Chicago. Sostenes Lins is Professor of Mathematics at the Universidade Federal de Pernambuco in Recife, Brazil.

"This extremely useful volume provides a self-contained treatment of the construction of 3-manifold invariants directly from the combinatorics of the Jones polynomial in Kauffman's bracket formulation."--Mathematical Reviews

• 1Introduction12Bracket Polynomial, Temperley-Lieb Algebra53Jones-Wenzl Projectors134The 3-Vertex225Properties of Projectors and 3-Vertices366[theta]-Evaluations457Recoupling Theory Via Temperley-Lieb Algebra608Chromatic Evaluations and the Tetrahedron769A Summary of Recoupling Theory9310A 3-Manifold Invariant by State Summation10211The Shadow World11412The Witten-Reshetikhin-Turaev Invariant12913Blinks [actual symbol not reproducible] 3-Gems: Recognizing 3-Manifolds16014Tables of Quantum Invariants185Bibliography290Index295

Louis H. Kauffman is Professor of Mathematics at the University of Illinois, Chicago. Sostenes Lins is Professor of Mathematics at the Universidade Federal de Pernambuco in Recife, Brazil.

"This extremely useful volume provides a self-contained treatment of the construction of 3-manifold invariants directly from the combinatorics of the Jones polynomial in Kauffman's bracket formulation."--Mathematical Reviews

• 1Introduction12Bracket Polynomial, Temperley-Lieb Algebra53Jones-Wenzl Projectors134The 3-Vertex225Properties of Projectors and 3-Vertices366[theta]-Evaluations457Recoupling Theory Via Temperley-Lieb Algebra608Chromatic Evaluations and the Tetrahedron769A Summary of Recoupling Theory9310A 3-Manifold Invariant by State Summation10211The Shadow World11412The Witten-Reshetikhin-Turaev Invariant12913Blinks [actual symbol not reproducible] 3-Gems: Recognizing 3-Manifolds16014Tables of Quantum Invariants185Bibliography290Index295

Louis H. Kauffman is Professor of Mathematics at the University of Illinois, Chicago. Sostenes Lins is Professor of Mathematics at the Universidade Federal de Pernambuco in Recife, Brazil.

"This extremely useful volume provides a self-contained treatment of the construction of 3-manifold invariants directly from the combinatorics of the Jones polynomial in Kauffman's bracket formulation."--Mathematical Reviews

• 1Introduction12Bracket Polynomial, Temperley-Lieb Algebra53Jones-Wenzl Projectors134The 3-Vertex225Properties of Projectors and 3-Vertices366[theta]-Evaluations457Recoupling Theory Via Temperley-Lieb Algebra608Chromatic Evaluations and the Tetrahedron769A Summary of Recoupling Theory9310A 3-Manifold Invariant by State Summation10211The Shadow World11412The Witten-Reshetikhin-Turaev Invariant12913Blinks [actual symbol not reproducible] 3-Gems: Recognizing 3-Manifolds16014Tables of Quantum Invariants185Bibliography290Index295