On rack cohomology

Details On rack cohomology On rack cohomology

2002-01-29

arxiv.org/abs/math/0201290v2

Mathematics

Quantum Algebra

Boundary formula corrected. 9 pages

Scientific paper

We prove that the lower bounds for Betti numbers of the rack, quandle and
degeneracy cohomology given by Carter, Jelsovsky, Kamada, and Saito, are in
fact equalities. We compute as well the Betti numbers of the twisted cohomology
introduced by Carter, Elhamdadi, and Saito. We also give a group-theoretical
interpretation of the second cohomology group for racks.

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