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Knot theory is a classical area of low-dimensional topology, directly connected with the theory of three-manifolds and smooth four-manifold topology. In recent years, the subject has undergone transformative changes thanks to its connections with a number of other mathematical disciplines, including gauge theory; representation theory and categorification; contact geometry; and the theory of pseudo-holomorphic curves.

Starting from the combinatorial point of view on knots using their grid diagrams, this book serves as an introduction to knot theory, specifically as it relates to...

Chemical synthesis of oligosaccharides is important to organic chemistry because of the critical biological functions of carbohydrates. Unfortunately, no handbook has been published on the subject...until now. Volume 1: Disaccharides presents synthetic carbohydrate chemistry, lists the syntheses, and shows the route of each synthesis. Volume 2: Trisaccharides presents schematic figures and references. This series includes all oligosaccharides synthesized between 1960 and 1986. This allows oligosaccharides prepared in their free form to be presented, as well as those produced in protected...