Cohomology relative to a system of closed forms on the torus
PL Dattori da Silva, A Meziani - Mathematische Nachrichten, 2016 - Wiley Online Library
PL Dattori da Silva, A Meziani
Mathematische Nachrichten, 2016•Wiley Online Library… To a system of closed one-forms on the torus, we associate a differential complex and
compute the induced cohomology groups provided that a related matrix satisfies a
Diophantine condition. … To such a system, we associate an urn:x-wiley:0025584X:media:mana201500293:mana201500293-math-0011
matrix of periods urn:x-wiley:0025584X:media:mana201500293:mana201500293-math-0012
and we give a complete characterization of the cohomology induced by urn:x-wiley:0025584X:media:mana201500293:mana201500293-math-0013
provided that urn:x-wiley:0025584X:media:mana201500293:mana201500293-math-0014 …
compute the induced cohomology groups provided that a related matrix satisfies a
Diophantine condition. … To such a system, we associate an urn:x-wiley:0025584X:media:mana201500293:mana201500293-math-0011
matrix of periods urn:x-wiley:0025584X:media:mana201500293:mana201500293-math-0012
and we give a complete characterization of the cohomology induced by urn:x-wiley:0025584X:media:mana201500293:mana201500293-math-0013
provided that urn:x-wiley:0025584X:media:mana201500293:mana201500293-math-0014 …
To a system of closed one‐forms on the torus, we associate a differential complex and compute the induced cohomology groups provided that a related matrix satisfies a Diophantine condition.
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