In this text, the authors develop the theory of knotted surfaces in analogy with the classical case of knotted curves in three-dimensional space. Knotted surface diagrams are defined; the theory of Reidemeister moves is developed; and the braid theory of knotted surfaces is
Diagrammatic algebra
by Carter, J. Scott, Kamada, Seiichi
fromMathematical surveys and monographs
Diagrammatic algebra
by Carter, J. Scott, Kamada, Seiichi
fromMathematical surveys and monographs
Diagrammatic algebra
by Carter, J. Scott, Kamada, Seiichi
fromMathematical surveys and monographs
Diagrammatic algebra
by Carter, J. Scott, Kamada, Seiichi
fromMathematical surveys and monographs
Diagrammatic algebra
by Carter, J. Scott, Kamada, Seiichi
fromMathematical surveys and monographs
Diagrammatic algebra
by Carter, J. Scott, Kamada, Seiichi
fromMathematical surveys and monographs
This book is an introduction to techniques and results in diagrammatic algebra. It starts with abstract tensors and their categorifications, presents diagrammatic methods for studying Frobenius and Hopf algebras, and discusses their relations with topological quantum field theor…