| Knotinfo: Table of knot invariants JC Cha, C Livingston | 554* | 2011 |
| Knot Theory: The Carus Mathematical Monographs, Vol. 24 JV Rauff The Mathematics Teacher 87 (6), 458-458, 1994 | 392* | 1994 |
| Twisted Alexander invariants, reidemeister torsion, and Casson–Gordon invariants P Kirk, C Livingston Topology 38 (3), 635-661, 1999 | 251 | 1999 |
| Computations of the Ozsváth–Szabó knot concordance invariant C Livingston Geometry & Topology 8 (2), 735-742, 2004 | 153 | 2004 |
| Heegaard Floer homology and rational cuspidal curves M Borodzik, C Livingston Forum of Mathematics, Sigma 2, e28, 2014 | 75 | 2014 |
| Twisted knot polynomials: inversion, mutation and concordance P Kirk, C Livingston Topology 38 (3), 663-671, 1999 | 74 | 1999 |
| The Gassner representation for string links P Kirk, C Livingston, Z Wang arXiv preprint math/9806035, 1998 | 70 | 1998 |
| Metabelian representations, twisted Alexander polynomials, knot slicing, and mutation C Herald, P Kirk, C Livingston Mathematische Zeitschrift 265 (4), 925-949, 2010 | 68 | 2010 |
| A survey of classical knot concordance C Livingston Handbook of knot theory, 319-347, 2005 | 66 | 2005 |
| Topologically slice knots with nontrivial Alexander polynomial M Hedden, C Livingston, D Ruberman Advances in Mathematics 231 (2), 913-939, 2012 | 63 | 2012 |
| On embedding 3-manifolds in 4-space PM Gilmer, C Livingston Topology 22 (3), 241-252, 1983 | 62 | 1983 |
| Notes on the knot concordance invariant upsilon C Livingston Algebraic & Geometric Topology 17 (1), 111-130, 2017 | 59 | 2017 |
| The Casson-Gordon invariant and link concordance P Gilmer, C Livingston Topology 31 (3), 475-492, 1992 | 53 | 1992 |
| Topologically slice knots of smooth concordance order two M Hedden, SG Kim, C Livingston Journal of Differential Geometry 102 (3), 353-393, 2016 | 52 | 2016 |
| Group actions on fibered three-manifolds AL Edmonds, C Livingston Commentarii Mathematici Helvetici 58 (1), 529-542, 1983 | 49 | 1983 |
| Seifert forms and concordance C Livingston Geometry & Topology 6 (1), 403-408, 2002 | 48 | 2002 |
| Vassiliev invariants of two component links and the Casson-Walker invariant P Kirk, C Livingston Topology 36 (6), 1333-1353, 1997 | 48 | 1997 |
| Twisted Alexander polynomials of periodic knots JA Hillman, C Livingston, S Naik Algebraic & Geometric Topology 6 (1), 145-169, 2006 | 47 | 2006 |
| Knots which are not concordant to their reverses C Livingston The Quarterly Journal of Mathematics 34 (3), 323-328, 1983 | 45 | 1983 |
| Obstructing four-torsion in the classical knot concordance group C Livingston, S Naik Journal of Differential Geometry 51 (1), 1-12, 1999 | 41 | 1999 |
Paul KirkIndiana universityVerified email at indiana.edu
