| The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl (2, C) R Kirby, P Melvin Inventiones mathematicae 105, 473-545, 1991 | 503 | 1991 |
| The coloured Jones function PM Melvin, HR Morton Communications in mathematical physics 169, 501-520, 1995 | 158 | 1995 |
| Dedekind sums, μ-invariants and the signature cocycle R Kirby, P Melvin Mathematische Annalen 299 (2), 231-268, 1994 | 123 | 1994 |
| Evaluations of the 3-manifold invariants of Witten and Reshetikhin-Turaev for sl (2, C) R Kirby, P Melvin Geometry of low-dimensional manifolds 2, 101-114, 1989 | 66* | 1989 |
| Finite type invariants of 3-manifolds TD Cochran, P Melvin arXiv preprint math/9805026, 1998 | 57 | 1998 |
| Templates and framed braids P Melvin, NB Tufillaro Physical Review A 44 (6), R3419, 1991 | 51 | 1991 |
| Stable isotopy in four dimensions D Auckly, HJ Kim, P Melvin, D Ruberman Journal of the London Mathematical Society 91 (2), 439-463, 2015 | 43 | 2015 |
| Abelian invariants of satellite knots C Livingston, P Melvin Geometry and topology (College Park, Md., 1983/84) 1167, 217-227, 1985 | 39 | 1985 |
| Canonical framings for 3-manifolds R Kirby, P Melvin Turkish Journal of Mathematics 23 (1), 89-116, 1999 | 37 | 1999 |
| A geometric interpretation of Milnor’s triple linking numbers B Mellor, P Melvin Algebraic & Geometric Topology 3 (1), 557-568, 2003 | 36 | 2003 |
| The Smale invariant of a knot JF Hughes, PM Melvin Commentarii Mathematici Helvetici 60, 615-627, 1985 | 35 | 1985 |
| The nonuniqueness of Chekanov polynomials of Legendrian knots P Melvin, S Shrestha Geometry & Topology 9 (3), 1221-1252, 2005 | 34 | 2005 |
| Local surgery formulas for quantum invariants and the Arf invariant R Kirby, P Melvin arXiv preprint math/0410358, 2004 | 33 | 2004 |
| Fibred knots of genus 2 formed by plumbing Hopf bands PM Melvin, HR Morton Journal of the London Mathematical Society 2 (1), 159-168, 1986 | 33 | 1986 |
| Slice knots and property R R Kirby, P Melvin Inventiones mathematicae 45 (1), 57-59, 1978 | 29 | 1978 |
| Isotopy of surfaces in 4-manifolds after a single stabilization D Auckly, HJ Kim, P Melvin, D Ruberman, H Schwartz Advances in Mathematics 341, 609-615, 2019 | 26 | 2019 |
| Blowing up and down in 4-manifolds. PM Melvin University of California, Berkeley, 1977 | 26 | 1977 |
| Quantum cyclotomic orders of 3-manifolds TD Cochran, P Melvin Topology 40 (1), 95-125, 2001 | 24 | 2001 |
| Algebraic knots are algebraically dependent C Livingston, P Melvin Proc. Amer. Math. Soc 87 (1), 179-180, 1983 | 23 | 1983 |
| Cohomotopy sets of 4-manifolds R Kirby, P Melvin, P Teichner Proceedings of the Freedman Fest 18, 161-190, 2012 | 22 | 2012 |
