Hochschild cohomology of certain Koszul Sullivan Extensions

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Abstract

We consider a totally non cohomologous to zero fibration (Figure presented.), where B is an elliptic 2-stage Postnikov tower and (Figure presented.) 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.

Original languageEnglish
JournalQuaestiones Mathematicae
DOIs
Publication statusAccepted/In press - 2021

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

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