Gerstenhaber-Schack diagram cohomology from operadic point of view

Details Gerstenhaber-Schack diagram cohomology from operadic point of view Gerstenhaber-Schack diagram cohomology from operadic point of view

2011-01-10

arxiv.org/abs/1101.1896v1

Mathematics

Algebraic Topology

37 pages

Scientific paper

We show that the operadic cohomology for any type of algebras over a
non-symmetric operad A can be computed as Ext in the category of operadic
A-modules. We use this principle to prove that the Gerstenhaber-Schack diagram
cohomology is operadic cohomology.

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