P. Etingof, and M. Grana. (2002)cite arxiv:math/0201290
Comment: Boundary formula corrected. 9 pages.
Abstract
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.
%0 Generic
%1 Etingof2002a
%A Etingof, Pavel
%A Grana, Matias
%D 2002
%K algebra homology quandles
%T On rack cohomology
%U http://arxiv.org/abs/math/0201290
%X 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.
@misc{Etingof2002a,
abstract = { 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.
},
added-at = {2009-05-22T16:49:25.000+0200},
author = {Etingof, Pavel and Grana, Matias},
biburl = {https://www.bibsonomy.org/bibtex/28548c1efce17461e970566586e1a398b/njj},
description = {On rack cohomology},
interhash = {50a1b2d409d788840c2e6faecfc43c53},
intrahash = {8548c1efce17461e970566586e1a398b},
keywords = {algebra homology quandles},
note = {cite arxiv:math/0201290
Comment: Boundary formula corrected. 9 pages},
timestamp = {2009-05-22T16:49:25.000+0200},
title = {On rack cohomology},
url = {http://arxiv.org/abs/math/0201290},
year = 2002
}