Proceedings from a Simons Center workshop delve into advances in vertex operator algebras, conformal field theory, categorification, low-dimensional topology, and representation theory. Bridging string theory with quantum gravity and quantum groups,...Daugiau...
Editors Gukov, Khovanov, and Walcher present readers with a collection of scholarly articles and academic papers investigating the theory of knot invariants from the perspectives of mathematics, physics, geometry, topology, algebra, guage theory,...Daugiau...
Mathematicians working in representation theory emphasize its relations to such areas as topology, algebraic geometry, number, theory, and mathematical physics. After a review of Frenkels work, 11 essays discuss an affine Gindikin-Karpelevich formul...Daugiau...
In an earlier paper, Aaron D. Lauda constructed a categorification of the Beilinson-Lusztig-MacPherson form of the quantum sl(2); here he, Khovanov, Marco Mackaay, and Marko Stosic enhance the graphical calculus he introduced to include two-morphisms...Daugiau...