Graph Cohomology, Colored Posets and Homological Algebra in Functor Categories

• Autorzy: Jolanta Słomińska
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 18G15: Ext and Tor, generalizations, K\"unneth formula
• 16E40: (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.)
• 18A25: Functor categories, comma categories
• 18G30: Simplicial sets, simplicial objects (in a category)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2012
• Tom: 60
• Numer: 3
• Strony: 219-239

Daty

wydano

2012

Twórcy

autor

Jolanta Słomińska

• Faculty of Mathematics and Information Sciences, Warsaw University of Technology, Plac Politechniki 1, 00-661 Warszawa, Poland

Identyfikatory

DOI

10.4064/ba60-3-3