By Scott Carter,Seiichi Kamada,Masahico Saito

Surfaces in 4-Space, written by means of prime experts within the box, discusses knotted surfaces in four-dimensional house and surveys some of the recognized leads to the realm. effects on knotted floor diagrams, structures of knotted surfaces, classically outlined invariants, and new invariants outlined through quandle homology thought are offered. The final bankruptcy includes many fresh effects, and strategies for computation are provided. New tables of quandles with a number of components and the homology teams thereof are included.

This ebook includes many new illustrations of knotted floor diagrams. The reader of the ebook becomes in detail conscious of the subtleties in going from the classical case of knotted circles in 3-space to this better dimensional case.

As a survey, the ebook is a consultant ebook to the huge literature on knotted surfaces and should turn into an invaluable reference for graduate scholars and researchers in arithmetic and physics.

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