Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1163.57302
Ohtsuki, T.
Problems on invariants of knots and 3-manifolds. (English)
[A] Ohtsuki, T. (ed.) et al., Invariants of knots and 3-manifolds. Proceedings of the workshop, Kyoto, Japan, September 17--21, 2001. Coventry: Geometry and Topology Publications. Geom. Topol. Monogr. 4, 377-572 (2002).

From the text: 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. Content: 1. Polynomial invariants of knots; 2. Finite type invariants of knots; 3. The Kontsevich invariant; 4. Skein modules; 5. Quandles; 6. Braid group representations; 7. Quantum and perturbative invariants of $3$-manifolds; 8. Topological quantum field theory; 9. The state-sum invariants of $3$-manifolds derived from $6j$-symbols; 10. Casson invariant and finite type invariants of $3$-manifolds; 11. The LMO invariant; 12. Other problems (Legendrian knots, knots and finite groups, the numbers of colorings and some local moves, knotted trivalent graphs, quantum groups etc). An electronic version of the list, together with recent updates, is available at http://www.kurims.kyoto-u.ac.jp/~tomotada/proj01.

MSC 2000:: *57M27 Invariants of knots and 3-manifolds
00A07 Problem books

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]