State-sum invariants of knotted curves and surfaces from quandle cohomology
暂无分享,去创建一个
Masahico Saito | Seiichi Kamada | M. Saito | J. Carter | Laurel Langford | J. Carter | Daniel Jelsovsky | S. Kamada | D. Jelsovsky | Laurel Langford
[1] R. Hartley. Identifying non-invertible knots , 1983 .
[2] M. Saito,et al. Quandle Homology Groups, Their Betti Numbers, and Virtual Knots , 1999, math/9909161.
[3] E. Zeeman,et al. Twisting spun knots , 1965 .
[4] S. Kamada,et al. ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS , 2000 .
[5] M. Wakui. On Dijkgraaf-Witten invariant for 3-manifolds , 1992 .
[6] A. Kawauchi. The invertibility problem on amphicheiral excellent knots , 1979 .
[7] L. Rudolph. Braided surfaces and seifert ribbons for closed braids , 1983 .
[8] W. Rosicki. Some simple invariants of the position of a surface in [R^4] , 1998 .
[9] S. Matveev. DISTRIBUTIVE GROUPOIDS IN KNOT THEORY , 1984 .
[10] Dennis Roseman,et al. Reidemeister-type moves for surfaces in four-dimensional space , 1998 .
[11] Daniel Ruberman. DOUBLY SLICE KNOTS AND THE CASSON-GORDON INVARIANTS , 1983 .
[12] Akio Kawauchi,et al. A Survey of Knot Theory , 1996 .
[13] Masahico Saito,et al. Quandle cohomology and state-sum invariants of knotted curves and surfaces , 1999, math/9903135.
[14] Structures and Diagrammatics of Four Dimensional Topological Lattice Field Theories , 1998, math/9806023.
[15] Computations of Quandle Cocycle Invariants of Knotted Curves and Surfaces , 1999, math/9906115.
[16] E. Witten,et al. Topological gauge theories and group cohomology , 1990 .
[17] S. Kamada. On braid monodromies of non-simple braided surfaces , 1996, Mathematical Proceedings of the Cambridge Philosophical Society.
[18] Kunio Murasugi,et al. Knot theory and its applications , 1996 .
[19] David Joyce,et al. A classifying invariant of knots, the knot quandle , 1982 .
[20] Vaughan F. R. Jones,et al. Hecke algebra representations of braid groups and link polynomials , 1987 .
[21] John C. Baez,et al. Higher-dimensional algebra IV: 2-tangles , 1998 .
[22] M. Saito,et al. Knotted Surfaces and Their Diagrams , 1997 .
[23] Roger Fenn,et al. RACKS AND LINKS IN CODIMENSION TWO , 1992 .
[24] L. Kauffman. Knots And Physics , 1991 .
[25] S. Kamada. A characterization of groups of closed orientable surfaces in 4-space , 1994 .
[26] S. Kamada. SURFACES IN R4 OF BRAID INDEX THREE ARE RIBBON , 1992 .
[27] M. E. Bozhüyük. Topics in knot theory , 1993 .
[28] S. Kamada. 2-Dimensional Braids and Chart Descriptions , 1993 .
[29] Alexander’s and Markov’s theorems in dimension four , 1994, math/9407217.
[30] M. Saito,et al. Canceling branch points on projections of surfaces in 4-space , 1992 .
[31] J. Hillman. Finite knot modules and the factorization of certain simple knots , 1981 .
[32] M. Saito,et al. ON FORMULATIONS AND SOLUTIONS OF SIMPLEX EQUATIONS , 1996 .
[33] S. Kamada. AN OBSERVATION OF SURFACE BRAIDS VIA CHART DESCRIPTION , 1996 .
[34] H. Trotter. Non-invertible knots exist , 1963 .
[35] Roger Fenn,et al. Trunks and classifying spaces , 1995, Appl. Categorical Struct..