Problems on invariants of knots and 3-manifolds. arXiv:math/0406190
Preprint, arXiv:math/0406190 [math.GT] (2004).
Summary: 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.
MSC:
20F36 | Braid groups; Artin groups |
57M25 | Knots and links in the \(3\)-sphere (MSC2010) |
57M27 | Invariants of knots and \(3\)-manifolds (MSC2010) |
57R56 | Topological quantum field theories (aspects of differential topology) |
13B25 | Polynomials over commutative rings |
17B10 | Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) |
17B37 | Quantum groups (quantized enveloping algebras) and related deformations |
18D10 | Monoidal, symmetric monoidal and braided categories (MSC2010) |
20C08 | Hecke algebras and their representations |
20G42 | Quantum groups (quantized function algebras) and their representations |
22E99 | Lie groups |
41A60 | Asymptotic approximations, asymptotic expansions (steepest descent, etc.) |
46L37 | Subfactors and their classification |
57M05 | Fundamental group, presentations, free differential calculus |
57M50 | General geometric structures on low-dimensional manifolds |
57N10 | Topology of general \(3\)-manifolds (MSC2010) |
57Q10 | Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. |
81T18 | Feynman diagrams |
81T45 | Topological field theories in quantum mechanics |
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