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This volume consists primarily of survey papers that evolved from the lectures given in the school portion of the meeting and selected papers from the conference. Knot theory is a very special topological subject: the classification of embeddings of a circle or collection of circles into three-dimensional space. This is a classical topological problem and a special case of the general placement problem: Understanding the embeddings of a space X in another space Y. There have been exciting new developments in the area of knot theory and 3-manifold topology in the last 25 years. From the Jones,

Knot theory --- Knots (Topology) --- Low-dimensional topology --- Knot theory - Congresses

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This volume provides timely coverage of nonaccelerator astroparticle physics. It complements two volumes prepared for earlier schools. Informative and pedagogical, it can serve as the basis for a modern course on the subject.The first section discusses the fundamentals of particle physics, with reviews of the standard model and beyond. The section on neutrinos and neutrino oscillations covers topics including neutrino oscillations, short and long baseline neutrino beams from accelerators, atmospheric and solar neutrinos, neutrinos from gravitational stellar collapses and neutrino telescopes. A

Nuclear astrophysics --- Particles (Nuclear physics)

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In this volume, topics such as the AdS/CFT correspondence, non-BPS states, noncommutative gauge theories and the Randall-Sundrum scenario are discussed. For the AdS/CFT correspondence, some of its generalizations, including examples of non-AdS/nonconformal backgrounds, are described. Myer's effect in this context and otherwise is also treated. Recent results in the context of non-BPS states are reviewed, in particular the use of open string field theory in understanding the related problem of tachyon condensation. Instantons and solitons in noncommutative gauge theories are described, as are

Superstring theories --- Black holes (Astronomy)

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This work covers topics such as manifolds with positive scalar curvature, pseudo-isotopy spectrum and controlled theory, and reduction of the Novikov and Borel conjectures for aspherical complexes to aspherical manifolds.

Topological manifolds --- Topology --- Manifolds (Mathematics)