Problems on invariants of knots and 3-manifolds
  This is a list of open problems on invariants of knots and 3-manifolds with expositions of their history, background, significance, or importance. This list was made by editing open problems given in problem sessions in the workshop and seminars on `Invariants of Knots and 3-Manifolds' held at Kyoto in 2001. 
J. E. Andersen, N. Askitas, D. Bar-Natan, S. Baseilhac, R. Benedetti,   S. Bigelow, M. Boileau, R. Bott, J. S. Carter, F. De...