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On Some Cohomological Properties of Almost Complex Manifolds

✍ Scribed by Anna Fino; Adriano Tomassini

Book ID
107627519
Publisher
Springer-Verlag
Year
2009
Tongue
English
Weight
407 KB
Volume
20
Category
Article
ISSN
1050-6926

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In the first part we give necessary and sufficient conditions for the existence of a stable almost complex structure on a 10-manifold M with H 1 ( M ; Z) = 0 and no 2-torsion in H i ( M ; Z) for i = 2,3. Using the Classification Theorem of Donaldson we give a reformulation of the conditions for a 4-