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Problems on invariants of knots and 3–manifolds
Tomotada Ohtsuki
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Geometry & Topology Monographs 4
(2002) 377–572
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Abstract
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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.
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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
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Mathematical Subject Classification
Primary: 20F36, 57M25, 57M27, 57R56
Secondary: 13B25, 17B10, 17B37, 18D10,
20C08, 20G42, 22E99, 41A60, 46L37, 57M05, 57M50, 57N10,
57Q10, 81T18, 81T45
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Publication
Received: 28 December 2001
Revised: 4 December 2002
Accepted: 8 April 2004
Published: 1 June 2004
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