## Download Quantum Invariants of Knots and 3-Manifolds by Vladimir G Turaev PDF

By Vladimir G Turaev

As a result powerful allure and broad use of this monograph, it really is now on hand in its moment revised version. The monograph supplies a scientific therapy of three-dimensional topological quantum box theories (TQFTs) in keeping with the paintings of the writer with N. Reshetikhin and O. Viro. This topic used to be encouraged by way of the invention of the Jones polynomial of knots and the Witten-Chern-Simons box thought. at the algebraic part, the research of third-dimensional TQFTs has been encouraged via the idea of braided different types and the idea of quantum teams. The booklet is split into 3 components. half I offers a building of third-dimensional TQFTs and 2-dimensional modular functors from so-called modular different types. this offers an unlimited classification of knot invariants and 3-manifold invariants in addition to a category of linear representations of the mapping category teams of surfaces. partly II the means of 6j-symbols is used to outline kingdom sum invariants of 3-manifolds. Their relation to the TQFTs developed partly I is tested through the idea of shadows. half III presents structures of modular different types, in response to quantum teams and skein modules of tangles within the 3-space. This basic contribution to topological quantum box concept is available to graduate scholars in arithmetic and physics with wisdom of uncomplicated algebra and topology. it truly is an crucial resource for everybody who needs to go into the vanguard of this interesting sector on the borderline of arithmetic and physics. From the contents: Invariants of graphs in Euclidean 3-space and of closed 3-manifolds Foun