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On the Vassiliev knot invariants
1995 · Dror Bar-Natan · Topology · 908
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Knot invariants and topological strings
2000 · Hirosi Ooguri, Cumrun Vafa · Nuclear Physics B · 578
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Finite-type invariants of classical and virtual knots
2000 · Mikhail Goussarov, Michael Polyak, et al. · Topology · 456
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Knot polynomials and Vassiliev's invariants
1993 · Joan S. Birman, Xiao-Song Lin · Inventiones mathematicae · 387
Heegaard Floer homology and alternating knots
2003 · Peter Ozsváth, Zoltán Szabó · Geometry & Topology · 220
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Stable Equivalence of Knots on Surfaces and Virtual Knot Cobordisms
2002 · J. SCOTT CARTER, SEIICHI KAMADA, et al. · Journal of Knot Theory and Its Ramifications · 217
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A combinatorial description of knot Floer homology
2009 · Ciprian Manolescu, Peter Ozsváth, et al. · Annals of Mathematics · 209
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Introduction to Vassiliev Knot Invariants
2012 · S. Chmutov, S. Duzhin, et al. · Cambridge University Press eBooks · 205
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Reidemeister torsion in knot theory
1986 · V G Turaev · Russian Mathematical Surveys · 197
On the minimum ropelength of knots and links
2002 · Jason Cantarella, Robert B. Kusner, et al. · Inventiones mathematicae · 193
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Knots and Numbers in ϕ4 Theory to 7 Loops and Beyond
1995 · D.J. BROADHURST, D. KREIMER · International Journal of Modern Physics C · 186
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Knots and Contact Geometry I: Torus Knots and the Figure Eight Knot
2001 · John B. Etnyre, Ko Honda · Journal of Symplectic Geometry · 183
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Knot Floer homology detects genus-one fibred knots
2008 · Paolo Ghiggini · American Journal of Mathematics · 182
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Knot Floer homology and rational surgeries
2010 · Peter S Ozsváth, Zoltán Szabó · Algebraic & Geometric Topology · 174
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Computations of the Ozsváth–Szabó knot concordance invariant
2004 · Charles Livingston · Geometry & Topology · 140
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Thickness of knots
1999 · R.A. Litherland, J. Simon, et al. · Topology and its Applications · 122
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Knotted periodic orbits in dynamical system. II. Knot holders for fibered knots
1983 · Joan S. Birman, R. F. Williams · Contemporary mathematics - American Mathematical Society · 121
Homological algebra of knots and BPS states
2013 · Sergei Gukov, Marko Stošić · Geometry and topology monographs · 118
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Virtual Knot Presentation of Ribbon Torus-knots
2000 · SHIN SATOH · Journal of Knot Theory and Its Ramifications · 113
Signatures of iterated torus knots
1979 · R. A. Litherland · Lecture notes in mathematics · 106
On Knot Floer Homology and Cabling: 2
2009 · M. Hedden · International Mathematics Research Notices · 96
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Evolution method and “differential hierarchy” of colored knot polynomials
2013 · A. Mironov, A. Morozov, et al. · AIP conference proceedings · 94
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Bordered Heegaard Floer homology and the tau-invariant of cable knots
2013 · Jennifer Hom · Journal of Topology · 92
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A Sequence of Degree One Vassiliev Invariants for Virtual Knots
2010 · ALLISON HENRICH · Journal of Knot Theory and Its Ramifications · 92
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Unknotting Virtual Knots With Gauss Diagram Forbidden Moves
2001 · SAM NELSON · Journal of Knot Theory and Its Ramifications · 91
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Works count: 1,896
Citation count: 15,200
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