Research Article

Hochschild cohomology of certain Koszul Sullivan Extensions

Published in: Quaestiones Mathematicae
Volume 45 , issue 12 , 2022 , pages: 1895–1907

DOI: 10.2989/16073606.2021.1977733

Author(s): Jean Baptiste Gatsinzi Botswana International University of Science and Technology, Botswana , Oteng Maphane Botswana International University of Science and Technology, Botswana

Keywords: Primary: Primary: 55P62 , Secondary: Secondary: 55P35 , Hochschild cohomology , Sullivan algebra , Koszul Sullivan extension

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Abstract

We consider a totally non cohomologous to zero fibration , where B is an elliptic 2-stage Postnikov tower and a Koszul Sullivan model of p. In this paper, we show that the induced map in Hochschild cohomology HH*(f): HH*(∧V; ∧V ) → HH*(∧V ; C) is injective.

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