Quandle cohomology and state-sum invariants of knotted curves and surfaces JS Carter, D Jelsovsky, S Kamada, L Langford, M Saito Transactions of the American Mathematical Society 355 (10), 3947-3990, 2003 | 479 | 2003 |
Knotted surfaces and their diagrams JS Carter, M Saito American Mathematical Society, 2023 | 348 | 2023 |
Stable equivalence of knots on surfaces and virtual knot cobordisms JS Carter, S Kamada, M Saito J. Knot Theory Ramifications 11 (3), 311–322, 2002 | 265 | 2002 |
Surfaces in 4-space S Carter, S Kamada, M Saito Springer Science & Business Media, 2013 | 250 | 2013 |
The classical and quantum 6j-symbols JS Carter, DE Flath, M Saito Princeton Univ Pr, 1995 | 220* | 1995 |
Geometric interpretations of quandle homology. JS Carter, S Kamada, M Saito J. Knot Theory Ramifications 10 (3), 345–386, 2001 | 140 | 2001 |
Homology theory for the set-theoretic Yang-Baxter equation and knot invariants from generalizations of quandles JS Carter, M Elhamdadi, M Saito arXiv preprint math/0206255, 2002 | 136 | 2002 |
Reidemeister moves for surface isotopies and their interpretation as moves to movies JS Carter, M Saito Journal of Knot Theory and its Ramifications 2 (03), 251-284, 1993 | 108 | 1993 |
Cocycle knot invariants from quandle modules and generalized quandle homology JS Carter, M Elhamdadi, M Graña, M Saito | 105 | 2005 |
How surfaces intersect in space: an introduction to topology JS Carter World Scientific, 1995 | 100 | 1995 |
A survey of quandle ideas JS Carter Introductory lectures on Knot Theory: Selected lectures presented at the …, 2012 | 87 | 2012 |
Classifying immersed curves JS Carter Proceedings of the American Mathematical Society 111 (1), 281-287, 1991 | 87 | 1991 |
Quandle homology groups, their Betti numbers, and virtual knots JS Carter, D Jelsovsky, S Kamada, M Saito Journal of Pure and Applied Algebra 157 (2-3), 135-155, 2001 | 84 | 2001 |
Extensions of quandles and cocycle knot invariants JS Carter, M Elhamdadi, MA Nikiforou, M Saito Journal of Knot Theory and Its Ramifications 12 (06), 725-738, 2003 | 79 | 2003 |
Computations of quandle cocycle invariants of knotted curves and surfaces JS Carter, D Jelsovsky, S Kamada, M Saito Advances in Mathematics 157 (1), 36-94, 2001 | 79 | 2001 |
A combinatorial description of knotted surfaces and their isotopies JS Carter, JH Rieger, M Saito Advances in mathematics 127 (1), 1-51, 1997 | 75 | 1997 |
State-sum invariants of knotted curves and surfaces from quandle cohomology J Carter, D Jelsovsky, S Kamada, L Langford, M Saito Electronic Research Announcements of the American Mathematical Society 5 (20 …, 1999 | 70 | 1999 |
Cohomology of categorical self-distributivity JS Carter, A Crans, M Elhamdadi, M Saito arXiv preprint math/0607417, 2006 | 69 | 2006 |
Twisted quandle homology theory and cocycle knot invariants JS Carter, M Elhamdadi, M Saito Algebr. Geom. Topol 2, 95-135, 2002 | 63 | 2002 |
Canceling branch points on projections of surfaces in 4-space JS Carter, M Saito Proceedings of the American Mathematical Society 116 (1), 229-237, 1992 | 61 | 1992 |