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A general description of the terms in the Frölicher spectral sequence

✍ Scribed by Luis A Cordero; Marisa Fernández; Luis Ugarte; Alfred Gray


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
576 KB
Volume
7
Category
Article
ISSN
0926-2245

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✦ Synopsis


An explicit description of the Frolicher spectral sequence is given that is useful for calculations for compact nilmanifolds. We use the description to exhibit examples of compact complex nilmanifolds of (complex) dimension 3 for which the Frolicher spectral sequence does not degenerate at the second term.


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The equivariant Serre spectral sequence
✍ Hannu Honkasalo 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 560 KB

E.H. has constructed, for a cohomology theory defined on a triangulated space and locally constant on each open simplex, a spectral sequence whose &-term consists of certain simplicial cohomology groups, converging to the cohomology of the space. In this paper we study a closed G-fibration f : Y -+