Link invariants from finite racks
Fundamenta Mathematicae (2014)
- Volume: 225, Issue: 0, page 243-258
- ISSN: 0016-2736
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topSam Nelson. "Link invariants from finite racks." Fundamenta Mathematicae 225.0 (2014): 243-258. <http://eudml.org/doc/283035>.
@article{SamNelson2014,
abstract = {We define ambient isotopy invariants of oriented knots and links using the counting invariants of framed links defined by finite racks. These invariants reduce to the usual quandle counting invariant when the rack in question is a quandle. We are able to further enhance these counting invariants with 2-cocycles from the coloring rack's second rack cohomology satisfying a new degeneracy condition which reduces to the usual case for quandles.},
author = {Sam Nelson},
journal = {Fundamenta Mathematicae},
keywords = {rack; rack homology; cocycle invariant},
language = {eng},
number = {0},
pages = {243-258},
title = {Link invariants from finite racks},
url = {http://eudml.org/doc/283035},
volume = {225},
year = {2014},
}
TY - JOUR
AU - Sam Nelson
TI - Link invariants from finite racks
JO - Fundamenta Mathematicae
PY - 2014
VL - 225
IS - 0
SP - 243
EP - 258
AB - We define ambient isotopy invariants of oriented knots and links using the counting invariants of framed links defined by finite racks. These invariants reduce to the usual quandle counting invariant when the rack in question is a quandle. We are able to further enhance these counting invariants with 2-cocycles from the coloring rack's second rack cohomology satisfying a new degeneracy condition which reduces to the usual case for quandles.
LA - eng
KW - rack; rack homology; cocycle invariant
UR - http://eudml.org/doc/283035
ER -
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