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Brace Algebras and the Cohomology Comparison Theorem by Patras, F. is a scholarly article available to read on EtoBox.

What is Brace Algebras and the Cohomology Comparison Theorem about?

The Gerstenhaber and Schack cohomology comparison theorem asserts that there is a cochain equivalence between the Hochschild complex of a certain algebra and the usual singular cochain complex of a space. We show that this comparison theorem preserves the brace algebra structures. This result gives a structural reason for the recent results establishing fine topological structures on the Hochschild cohomology, and a simple way to derive them from the corresponding properties of cochain complexes.

Author

Patras, F.

Published

2001

Language

EN