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This volume consists of the proceedings of a conference held at the University College of North Wales (Bangor) in July of 1979. It assembles research papers which reflect diverse currents in low-dimensional topology. The topology of 3-manifolds, hyperbolic geometry and knot theory emerge as major themes. The inclusion of surveys of work in these areas should make the book very useful to students as well as researchers.

Low-dimensional topology --- Algebraic topology --- Topology, Low-dimensional --- Manifolds (Mathematics)

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This volume is based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds. This area has been one of intense research recently, with major breakthroughs that have illuminated the way a number of different subjects interact (for example: topology, differential and algebraic geometry and mathematical physics). The workshop brought together a number of distinguished figures to give lecture courses and seminars in these subjects; the volume that has resulted is the only expository source for much of the material, and will be essential for all research workers in geometry and mathematical physics.

Manifolds (Mathematics) --- Low-dimensional topology --- Topology, Low-dimensional --- Algebraic topology

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This volume gathers the contributions from the international conference ""Intelligence of Low Dimensional Topology 2006,"" which took place in Hiroshima in 2006. The aim of this volume is to promote research in low dimensional topology with the focus on knot theory and related topics. The papers include comprehensive reviews and some latest results.

Knot theory --- Low-dimensional topology --- Topology, Low-dimensional --- Algebraic topology --- Manifolds (Mathematics) --- Knots (Topology)

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The aim of this book is to give as detailed a description as is possible of one of the most beautiful and complicated examples in low-dimensional topology. This example is a gateway to a new idea of higher dimensional algebra in which diagrams replace algebraic expressions and relationships between diagrams represent algebraic relations. The reader may examine the changes in the illustrations in a leisurely fashion; or with scrutiny, the reader will become familiar and develop a facility for these diagrammatic computations. The text describes the essential topological ideas through metaphors t

Low-dimensional topology. --- Topology, Low-dimensional --- Algebraic topology --- Manifolds (Mathematics) --- Low-dimensional topology

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This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology, combinatorics, algebra, mathematical physics and biochemistry.* Survey of mathematical knot theory* Articles by leading world authorities* Clear exposition, not over-technical* Accessible to readers with undergraduate backg

Knot theory. --- Low-dimensional topology. --- Topology, Low-dimensional --- Algebraic topology --- Manifolds (Mathematics) --- Knots (Topology) --- Low-dimensional topology