Physics and Mathematics of Link Homology
About this Title
Sergei Gukov, California Institute of Technology, Pasadena, CA, Mikhail Khovanov, Columbia University, New York, NY and Johannes Walcher, Ruprecht-Karls-Universität Heidelberg, Heidelberg, Germany, Editors
Publication: Contemporary Mathematics
Publication Year: 2016; Volume 680
ISBNs: 978-1-4704-1459-7 (print); 978-1-4704-3629-2 (online)
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 Séminaire de Mathématiques Supérieures in Montréal 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.
Table of Contents
- Ramadevi Pichai and Vivek Kumar Singh – Chern-Simons theory and knot invariants
- Ben Webster – Tensor product algebras, Grassmannians and Khovanov homology
- Sergei Gukov and Ingmar Saberi – Lectures on knot homology and quantum curves
- Ciprian Manolescu – An introduction to knot Floer homology
- Satoshi Nawata and Alexei Oblomkov – Lectures on knot homology