Physics and mathematics of link homology : Séminaire de Mathématiques Supérieures, Physics and Mathematics of Link Homology, June 24-July 5, 2013, Centre de Recherches Mathématiques, Université de Montréal, Québec, Canada

書誌事項

Physics and mathematics of link homology : Séminaire de Mathématiques Supérieures, Physics and Mathematics of Link Homology, June 24-July 5, 2013, Centre de Recherches Mathématiques, Université de Montréal, Québec, Canada

Sergei Gukov, Mikhail Khovanov, Johannes Walcher, editors

(Contemporary mathematics, 680 . Centre de Recherches Mathématiques proceedings)

American Mathematical Society , Centre de Reserches Mathématiques, c2016

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注記

Includes bibliographical references

内容説明・目次

内容説明

Throughout recent history, the theory of knot invariants has been a fascinating melting pot of ideas and scientific cultures, blending mathematics and physics, geometry, topology and algebra, gauge theory, and quantum gravity. The 2013 Seminaire de Mathematiques Superieures in Montreal presented an opportunity for the next generation of scientists to learn in one place about the various perspectives on knot homology, from the mathematical background to the most recent developments, and provided an access point to the relevant parts of theoretical physics as well. This volume presents a cross-section of topics covered at that summer school and will be a valuable resource for graduate students and researchers wishing to learn about this rapidly growing field.

目次

R. Pichai and V. K. Singh, Chern-Simons theory and knot invariants B. Webster, Tensor product algebras, Grassmannians and Khovanov homology S. Gukov and I. Saberi, Lectures on knot homology and quantum curves C. Manolescu, An introduction to knot Floer homology S. Nawata and A. Oblomkov, Lectures on knot homology.

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