Topic · Geometric and Algebraic Topology
Most cited papers in Geometric and Algebraic Topology
What are the most cited papers in Geometric and Algebraic Topology?
The most cited paper in Geometric and Algebraic Topology is "Hirshfeld surface analysis" (Mark A. Spackman, Dylan Jayatilaka, 2008), with 8,008 citations. Next come "Quantum field theory and the Jones polynomial" (4,977) and "Introduction: Motivation" (2,273).
Showing 50 of 99 papers. Every paper with more than 483 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Hirshfeld surface analysis Mark A. Spackman, Dylan Jayatilaka · CrystEngComm | 21 Nov 2008 | 8,008 |
| 2 | Quantum field theory and the Jones polynomial Edward H. Witten · Communications in Mathematical Physics | Sep 1989 | 4,977 |
| 3 | Introduction: Motivation Chris Wendl · Cambridge University Press eBooks | 6 Mar 2020 | 2,273 |
| 4 | Short Group Signatures Dan Boneh, Xavier Boyen, Hovav Shacham · Lecture notes in computer science | 2004 | 2,109 |
| 5 | Pseudo holomorphic curves in symplectic manifolds Mikhail Leonidovich Gromov · Inventiones mathematicae | Jun 1985 | 2,092 |
| 6 | Heterotic and Type I string dynamics from eleven dimensions Petr Hořava, Edward Witten · Nuclear Physics B | Feb 1996 | 1,991 |
| 7 | Strings on orbifolds Lance J. Dixon, Jeffrey A. Harvey, Cumrun Vafa et al. · Nuclear Physics B | 1985 | 1,855 |
| 8 | Spaces of constant curvature Joseph A. Wolf · American Mathematical Society eBooks | Dec 2010 | 1,780 |
| 9 | How to Leak a Secret Ronald L. Rivest, Adi Shamir, Yael Tauman · Lecture notes in computer science | 2001 | 1,618 |
| 10 | Invariants of 3-manifolds via link polynomials and quantum groups Nicolai Reshetikhin, Vladimir Georgievich Turaev · Inventiones mathematicae | Dec 1991 | 1,589 |
| 11 | The Geometries of 3-Manifolds Peter Scott · Bulletin of the London Mathematical Society | Sep 1983 | 1,508 |
| 12 | Heterotic and type I string dynamics from eleven dimensions Horava, P, Edward H. Witten · CERN Document Server (European Organization for Nuclear Research) | 29 Oct 1995 | 1,481 |
| 13 | State models and the jones polynomial Louis Hirsch Kauffman · Topology | 1987 | 1,478 |
| 14 | Group signatures David Chaum, Eugène van Heyst · Theory and Application of Cryptographic Techniques | 8 Apr 1991 | 1,400 |
| 15 | Homological Algebra of Mirror Symmetry Maxim L'vovich Kontsevich · Birkhäuser Basel eBooks | 1995 | 1,231 |
| 16 | A new polynomial invariant of knots and links Peter J. Freyd, David N. Yetter, Jim Hoste et al. · Bulletin of the American Mathematical Society | 1985 | 1,230 |
| 17 | State sum invariants of 3-manifolds and quantum 6j-symbols Vladimir Georgievich Turaev, Oleg Ya. Viro · Topology | Oct 1992 | 1,195 |
| 18 | Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles Simon K Donaldson · Proceedings of the London Mathematical Society | 1985 | 1,107 |
| 19 | Ribbon graphs and their invaraints derived from quantum groups Nicolai Reshetikhin, Vladimir Georgievich Turaev · Communications in Mathematical Physics | 1990 | 1,093 |
| 20 | Efficient group signature schemes for large groups Jan L. Camenisch, Markus A. Stadler · Lecture notes in computer science | 1997 | 1,086 |
| 21 | Real hypersurfaces in complex manifolds Shiing-Shen Chern, Jürgen Moser · Acta Mathematica | 1974 | 1,060 |
| 22 | Virtual Knot Theory Louis Hirsch Kauffman · European Journal of Combinatorics | Oct 1999 | 1,035 |
| 23 | On the Vassiliev knot invariants Dror Bar-Natan · Topology | Apr 1995 | 1,035 |
| 24 | Signature Schemes and Anonymous Credentials from Bilinear Maps Jan L. Camenisch, Anna Lysyanskaya · Lecture notes in computer science | 2004 | 993 |
| 25 | A classifying invariant of knots, the knot quandle David Joyce · Journal of Pure and Applied Algebra | 1982 | 954 |
| 26 | Quasiconformal maps in metric spaces with controlled geometry Juha Heinonen, Pekka Koskela · Acta Mathematica | 1998 | 942 |
| 27 | J-holomorphic curves and symplectic topology Dusa McDuff, Dietmar Arno Salamon | 2004 | 933 |
| 28 | Worst‐Case to Average‐Case Reductions Based on Gaussian Measures Daniele Micciancio, Oded Regev · SIAM Journal on Computing | 2007 | 922 |
| 29 | Foliations and the topology of 3-manifolds David Gabai · Journal of Differential Geometry | 1983 | 898 |
| 30 | A strong coupling test of s-duality Vafa, C, Edward H. Witten · CERN Document Server (European Organization for Nuclear Research) | 12 Aug 1994 | 880 |
| 31 | The octonions John C. Baez · Bulletin of the American Mathematical Society | 21 Dec 2001 | 861 |
| 32 | Topological field theory Danny Birmingham · Physics Reports | Dec 1991 | 839 |
| 33 | The sixteen classes of almost Hermitian manifolds and their linear invariants Alfred Gray, Luis Hervella · Annali di Matematica Pura ed Applicata (1923 -) | Dec 1980 | 800 |
| 34 | Holomorphic disks and knot invariants Peter Ozsváth, Zoltán Szabó · Advances in Mathematics | 15 Nov 2003 | 798 |
| 35 | Trading group theory for randomness László Babai | 1985 | 785 |
| 36 | Moduli spaces of local systems and higher Teichmüller theory V. V. Fock, A. B. Goncharov · Publications mathématiques de l IHÉS | 7 Jun 2006 | 780 |
| 37 | A strong coupling test of S-duality Cumrun Vafa, Edward Witten · Nuclear Physics B | Dec 1994 | 774 |
| 38 | Holomorphic disks and topological invariants for closed three-manifolds Peter Ozsváth, Zoltán Szabó · Annals of Mathematics | May 2004 | 766 |
| 39 | Positive scalar curvature and the Dirac operator on complete riemannian manifolds Mikhael Gromov, H. Blaine Lawson · Publications mathématiques de l IHÉS | 7 Dec 1983 | 757 |
| 40 | Candidate Multilinear Maps from Ideal Lattices Sanjam Garg, Craig Gentry, Shai Halevi · Lecture notes in computer science | 2013 | 748 |
| 41 | Localization of virtual classes T.M. Graber, Rahul Pandharipande · Inventiones mathematicae | 15 Jan 1999 | 743 |
| 42 | Lectures on Three-Manifold Topology William Jaco · Regional conference series in mathematics | 31 Dec 1980 | 742 |
| 43 | Introduction to Knot Theory. Hale Freeman Trotter, Richard H. Crowell, Ralph H. Fox · American Mathematical Monthly | Dec 1964 | 740 |
| 44 | Multiple polylogarithms, cyclotomy and modular complexes A. B. Goncharov · Mathematical Research Letters | 1998 | 730 |
| 45 | Smoothness, semi-stability and alterations Aise Johan de Jong · Publications mathématiques de l IHÉS | 7 Dec 1996 | 727 |
| 46 | The Euler characteristic of the moduli space of curves John Harer, Don Bernard Zagier · Inventiones mathematicae | Oct 1986 | 722 |
| 47 | The analysis of data from dyads and groups. Deborah A. Kashy, David A. Kenny | 2000 | 710 |
| 48 | Regular elements of semi-simple algebraic groups Robert Steinberg · Publications mathématiques de l IHÉS | 7 Dec 1965 | 709 |
| 49 | One-way functions are necessary and sufficient for secure signatures John Rompel | 1990 | 703 |
| 50 | Geometry of the complex of curves I: Hyperbolicity Howard Masur, Yair N. Minsky · Inventiones mathematicae | Oct 1999 | 695 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.