On the Hochschild cohomology of a map between commutative differential graded algebras

We consider a surjective morphism between commutative differential graded algebras ϕ: (∧V, d) → (B, d), where V is finite dimensional, and (B, d) is a module over ∧V via the mapping ϕ. We show that the Hochschild cohomology HH*(∧V; B) can be computed in terms of the graded vector space of positive ϕ...

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Bibliographic Details
Main Authors: Maphane Oteng, Gatsinzi Jean-Baptiste
Format: Article
Language:English
Published: De Gruyter 2022-09-01
Series:Topological Algebra and its Applications
Subjects:
Online Access:https://doi.org/10.1515/taa-2022-0119