Some calculations of cohomology groups of finite Alexander quandles

By T. Mochizuki. 2003

104 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/15fd0986231e2ece7a1ceb13899d1b82b5315253

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. S. Kamada
2. J. Scott Carter
3. Mohamed Elhamdadi
4. Masahico Saito
5. Kanako Oshiro
6. Louis H. Kauffman
7. Sam Nelson
8. Marina Appiou Nikiforou

In Mathematical Physics

1. J. Scott Carter
2. S. Kamada
3. Mohamed Elhamdadi
4. Masahico Saito
5. Sam Nelson
6. Kanako Oshiro
7. Marina Appiou Nikiforou
8. Louis H. Kauffman

Citations in the corpus

• The 2-twist-spun trefoil has the triple point number four (2003, background): “In [ 23 ], Mochizuki proves that H3(Rp;Zp) ∼ = Zp for any prime”
• Knot invariants derived from quandles and racks (2002, background): “They thank R. A. Litherland, S. Nelson [21] and T. Mochizuki [ 24 ] for pointing out and correcting them.”
• The Betti numbers of some finite racks (2001, background): “ M be the quotient of M by the submodule (1 − t)M.”
• Extensions of Quandles and Cocycle Knot Invariants (2001, background): “In [ 21 , 19], ranks of homology groups are determined for certain families of quandles.”
• Homology Groups of Symmetric Quandles and Cocycle Invariants of Links and Surface-links (2009, background): “(It is a modified version of Mochizuki’s cocycle [18].”