Abstract
Let \({A= (\land V, d)}\) be a minimal Sullivan algebra where V is finite dimensional. We show that the Hochschild cohomology HH*(A; A) can be computed in terms of derivations of A. This provides another method to compute the loop space homology of a simply connected space for which \({ \pi_*(X) \otimes \mathbb{Q} }\) is finite dimensional.
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Partial support from the Abdus Salam International Centre for Theoretical Physics and the International Mathematical Union.
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Gatsinzi, J.B. Hochschild Cohomology of a Sullivan Algebra. Mediterr. J. Math. 13, 3765–3776 (2016). https://doi.org/10.1007/s00009-016-0713-9
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DOI: https://doi.org/10.1007/s00009-016-0713-9