Recent Volumes
Volume 1, 1998
Volume 2, 1999
Volume 3, 2000
Volume 4, 2002
Volume 5, 2002
Volume 6, 2003
Volume 7, 2004
Volume 8, 2006
Volume 9, 2006
Volume 10, 2007
Volume 11, 2007
Volume 12, 2007
Volume 13, 2008
Volume 14, 2008
Volume 15, 2008
Volume 16, 2009
Volume 17, 2011
Volume 18, 2012
Volume 19, 2015
Problems on invariants of knots and 3–manifolds
Tomotada Ohtsuki
Geometry & Topology Monographs 4
(2002) 377–572
Abstract
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.
Keywords
invariant, knot, 3–manifold, Jones
polynomial, Vassiliev invariant, Kontsevich invariant, skein
module, quandle, braid group, quantum invariant, perturbative
invariant, topological quantum field theory, state-sum
invariant, Casson invariant, finite type invariant, LMO
invariant
Mathematical Subject Classification
Primary: 20F36, 57M25, 57M27, 57R56
Secondary: 13B25, 17B10, 17B37, 18D10,
20C08, 20G42, 22E99, 41A60, 46L37, 57M05, 57M50, 57N10,
57Q10, 81T18, 81T45
Publication
Received: 28 December 2001
Revised: 4 December 2002
Accepted: 8 April 2004
Published: 1 June 2004