TY - BOOK AU - TURAEV ,Vladimir G. TI - Quantum Invariants of Knots and 3-Manifolds T2 - De Gruyter Studies in Mathematics, SN - 9783110435221 PY - 2016/// CY - Berlin : PB - De Gruyter, KW - UDJG KW - DE-Matematică N1 - Frontmatter; Preface ; Contents; Introduction ; Part I. Towards topological field theory; Chapter I. Invariants of graphs in Euclidean 3-space ; Chapter II. Invariants of closed 3-manifolds ; Chapter III. Foundations of topological quantum field theory ; Chapter IV. Three-dimensional topological quantum field theory ; Chapter V. Two-dimensional modular functors ; Part II. The shadow world; Chapter VI. 6j-symbols ; Chapter VII. Simplicial state sums on 3-manifolds ; Chapter VIII. Generalities on shadows ; Chapter IX. Shadows of manifolds ; Chapter X. State sums on shadows ; Part III. Towards Modular Categories; Chapter XI. An algebraic construction of modular categories ; Chapter XII. A geometric construction of modular categories ; Appendix I. Dimension and trace re-examined ; Appendix II. Vertex models on link diagrams ; Appendix III. Gluing re-examined ; Appendix IV. The signature of closed 4-manifolds from a state sum ; References ; Subject index UR - https://www-degruyter-com.am.e-nformation.ro/document/doi/10.1515/9783110435221/html ER -