Geometry & Topology Monographs, Vol. 4 (2002),
Invariants of knots and 3-manifolds (Kyoto 2001),
Paper no. 24, pages 377--572.

Problems on invariants of knots and 3-manifolds

T. Ohtsuki (Editor)

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

AMS subject classification. Primary: 20F36, 57M25, 57M27, 57R56. Secondary: 13B25, 17B10, 17B37, 18D10, 20C08, 20G42, 22E99, 41A60, 46L37, 57M05, 57M50, 57N10, 57Q10, 81T18, 81T45.

E-print: arXiv:math.GT/0406190

Submitted to GT on 28 December 2001. (Revised 4 December 2002 -- 8 April 2004.) Paper accepted 8 April 2004. Paper published 1 June 2004.

Notes on file formats

T. Ohtsuki (Editor)
Email: tomotada@kurims.kyoto-u.ac.jp
URL: http://www.kurims.kyoto-u.ac.jp/~tomotada/proj01/

GTM home page

EMIS/ELibM Electronic Journals

Outdated Archival Version

These pages are not updated anymore. They reflect the state of 21 Apr 2006. For the current production of this journal, please refer to http://msp.warwick.ac.uk/.