Riv. Mat. Univ. Parma, Vol. 13, No. 2, 2022

Joana Cirici [a,b]

Cup and Massey products on the cohomology of compact almost complex manifolds

Pages: 297-305
Received: 19 November 2021
Accepted: 25 January 2022
Mathematics Subject Classification: 32Q60, 53C15, 32Q55.
Keywords: Almost complex manifolds, Frölicher spectral sequence, Massey products.
Author address:
[a]: Universitat de Barcelona, Departament de Matemàtiques i Informàtica, Barcelona, Spain
[b]: Centre de Recerca Matemàtica, Bellaterra, Spain

This work was partially funded by the Spanish State Research Agency (María de Maeztu Program CEX2020-001084-M and I+D+i project PID2020-117971GB-C22/MCIN/AEI/10.13039/501100011033) as well as by the French National Research Agency (ANR-20-CE40-0016). I also thank the Serra Húnter Program

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Abstract: The cohomology of any compact almost complex manifold carries bidegree decompositions induced by a Frölicher-type spectral sequence. In this note we give some restrictions on the possible decompositions on a given manifold and study how cup and Massey products behave with respect to such decompositions.

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