Homomorphisms on quandle cohomology groups that raise the dimensions by one are studied in relation to the cocycle state-sum invariants of knots and knotted surfaces. Skein relations are also studied.
Description
Shifting Homomorphisms in Quandle Cohomology and Skeins of Cocycle Knot
Invariants
%0 Journal Article
%1 Carter2000b
%A Carter, J. Scott
%A Jelsovsky, Daniel
%A Kamada, Seiichi
%A Saito, Masahico
%D 2001
%J J. Knot Theory Ramifications
%K algebra homology knot-theory quandles skein topology
%N 4
%P 579--596
%T Shifting homomorphisms in quandle cohomology and skeins of cocycle knot invariants
%U http://arxiv.org/abs/math/0006175
%V 10
%X Homomorphisms on quandle cohomology groups that raise the dimensions by one are studied in relation to the cocycle state-sum invariants of knots and knotted surfaces. Skein relations are also studied.
@article{Carter2000b,
abstract = {Homomorphisms on quandle cohomology groups that raise the dimensions by one are studied in relation to the cocycle state-sum invariants of knots and knotted surfaces. Skein relations are also studied.
},
added-at = {2009-05-25T18:33:47.000+0200},
author = {Carter, J. Scott and Jelsovsky, Daniel and Kamada, Seiichi and Saito, Masahico},
biburl = {https://www.bibsonomy.org/bibtex/2ffaa69990ab995c63aa2913f338646da/njj},
description = {Shifting Homomorphisms in Quandle Cohomology and Skeins of Cocycle Knot
Invariants},
interhash = {071f88b491e1ea1b5ad553c8e4704e7d},
intrahash = {ffaa69990ab995c63aa2913f338646da},
journal = {J. Knot Theory Ramifications},
keywords = {algebra homology knot-theory quandles skein topology},
number = 4,
pages = {579--596},
timestamp = {2009-05-25T18:33:47.000+0200},
title = {Shifting homomorphisms in quandle cohomology and skeins of cocycle knot invariants
},
url = {http://arxiv.org/abs/math/0006175},
volume = 10,
year = 2001
}