Volume 2, issue 1 (2002)

Download this article
For printing
Recent Issues

Volume 25
Issue 7, 3789–4436
Issue 6, 3145–3787
Issue 5, 2527–3144
Issue 4, 1917–2526
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Twisted quandle homology theory and cocycle knot invariants

J Scott Carter, Mohamed Elhamdadi and Masahico Saito

Algebraic & Geometric Topology 2 (2002) 95–135
Bibliography
1 E Brieskorn, Automorphic sets and braids and singularities, from: "Braids (Santa Cruz, CA, 1986)", Contemp. Math. 78, Amer. Math. Soc. (1988) 45 MR975077
2 K S Brown, Cohomology of groups, Graduate Texts in Mathematics 87, Springer (1982) MR672956
3 J S Carter, M Elhamdadi, M A Nikiforou, M Saito, Extensions of quandles and cocycle knot invariants, J. Knot Theory Ramifications 12 (2003) 725 MR2008876
4 J S Carter, D Jelsovsky, S Kamada, L Langford, M Saito, Quandle cohomology and state-sum invariants of knotted curves and surfaces, Trans. Amer. Math. Soc. 355 (2003) 3947 MR1990571
5 J S Carter, D Jelsovsky, S Kamada, M Saito, Computations of quandle cocycle invariants of knotted curves and surfaces, Adv. Math. 157 (2001) 36 MR1808844
6 J S Carter, D Jelsovsky, S Kamada, M Saito, Quandle homology groups, their Betti numbers, and virtual knots, J. Pure Appl. Algebra 157 (2001) 135 MR1812049
7 J S Carter, S Kamada, M Saito, Alexander numbering of knotted surface diagrams, Proc. Amer. Math. Soc. 128 (2000) 3761 MR1695171
8 J S Carter, S Kamada, M Saito, Geometric interpretations of quandle homology, J. Knot Theory Ramifications 10 (2001) 345 MR1825963
9 J S Carter, S Kamada, M Saito, Diagrammatic computations for quandles and cocycle knot invariants, from: "Diagrammatic morphisms and applications (San Francisco, CA, 2000)", Contemp. Math. 318, Amer. Math. Soc. (2003) 51 MR1973510
10 J S Carter, M Saito, Canceling branch points on projections of surfaces in 4–space, Proc. Amer. Math. Soc. 116 (1992) 229 MR1126191
11 J S Carter, M Saito, Knotted surfaces and their diagrams, Mathematical Surveys and Monographs 55, American Mathematical Society (1998) MR1487374
12 V G Drinfel’d, Quantum groups, from: "Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986)", Amer. Math. Soc. (1987) 798 MR934283
13 R Fenn, C Rourke, Racks and links in codimension two, J. Knot Theory Ramifications 1 (1992) 343 MR1194995
14 R Fenn, C Rourke, B Sanderson, Trunks and classifying spaces, Appl. Categ. Structures 3 (1995) 321 MR1364012
15 R Fenn, C Rourke, B Sanderson, James bundles, Proc. London Math. Soc. $(3)$ 89 (2004) 217 MR2063665
16 J Flower, Cyclic Bordism and Rack Spaces, PhD thesis, University of Warwick (1995)
17 R H Fox, A quick trip through knot theory, from: "Topology of 3–manifolds and related topics (Proc. The Univ. of Georgia Institute, 1961)", Prentice-Hall (1962) 120 MR0140099
18 M Gerstenhaber, S D Schack, Bialgebra cohomology, deformations, and quantum groups, Proc. Nat. Acad. Sci. U.S.A. 87 (1990) 478 MR1031952
19 M T Greene, Some Results in Geometric Topology and Geometry, PhD thesis, University of Warwick (1997)
20 D Joyce, A classifying invariant of knots, the knot quandle, J. Pure Appl. Algebra 23 (1982) 37 MR638121
21 L H Kauffman, Knots and physics, Series on Knots and Everything 1, World Scientific Publishing Co. (1991) MR1141156
22 M Markl, J D Stasheff, Deformation theory via deviations, J. Algebra 170 (1994) 122 MR1302834
23 S V Matveev, Distributive groupoids in knot theory, Mat. Sb. $($N.S.$)$ 119(161) (1982) 78, 160 MR672410
24 D Rolfsen, Knots and links, Mathematics Lecture Series 7, Publish or Perish (1976) MR0515288
25 C P Rourke, B J Sanderson, There are two 2–twist-spun trefoils, arXiv:math.GT/0006062
26 V G Turaev, The Yang–Baxter equation and invariants of links, Invent. Math. 92 (1988) 527 MR939474
27 E C Zeeman, Twisting spun knots, Trans. Amer. Math. Soc. 115 (1965) 471 MR0195085