Graph Cohomology, Colored Posets and Homological Algebra in Functor Categories
Bulletin of the Polish Academy of Sciences. Mathematics (2012)
- Volume: 60, Issue: 3, page 219-239
- ISSN: 0239-7269
Access Full Article
top
Abstract
topHow to cite
topJolanta Słomińska. "Graph Cohomology, Colored Posets and Homological Algebra in Functor Categories." Bulletin of the Polish Academy of Sciences. Mathematics 60.3 (2012): 219-239. <http://eudml.org/doc/281300>.
@article{JolantaSłomińska2012,
abstract = {The homology theory of colored posets, defined by B. Everitt and P. Turner, is generalized. Two graph categories are defined and Khovanov type graph cohomology are interpreted as Ext* groups in functor categories associated to these categories. The connection, described by J. H. Przytycki, between the Hochschild homology of an algebra and the graph cohomology, defined for the same algebra and a cyclic graph, is explained from the point of view of homological algebra in functor categories.},
author = {Jolanta Słomińska},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {functor categories; graph categories; graph cohomology; Hochschild homology; Khovanov cohomology},
language = {eng},
number = {3},
pages = {219-239},
title = {Graph Cohomology, Colored Posets and Homological Algebra in Functor Categories},
url = {http://eudml.org/doc/281300},
volume = {60},
year = {2012},
}
TY - JOUR
AU - Jolanta Słomińska
TI - Graph Cohomology, Colored Posets and Homological Algebra in Functor Categories
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2012
VL - 60
IS - 3
SP - 219
EP - 239
AB - The homology theory of colored posets, defined by B. Everitt and P. Turner, is generalized. Two graph categories are defined and Khovanov type graph cohomology are interpreted as Ext* groups in functor categories associated to these categories. The connection, described by J. H. Przytycki, between the Hochschild homology of an algebra and the graph cohomology, defined for the same algebra and a cyclic graph, is explained from the point of view of homological algebra in functor categories.
LA - eng
KW - functor categories; graph categories; graph cohomology; Hochschild homology; Khovanov cohomology
UR - http://eudml.org/doc/281300
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.