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• W1621970189 abstract "Formality is a topological property, defined in terms of Sullivan's model for a space. In the simply-connected setting, a space is formal if its rational homotopy type is determined by the rational cohomology ring. In the general setting, the weaker 1-formality property allows one to reconstruct the rational pro-unipotent completion of the fundamental group, solely from the cup products of degree 1 cohomology classes. In this note, we survey various facets of formality, with emphasis on the geometric and algebraic implications of 1-formality, and its relations to the cohomology jump loci and the Bieri-Neumann-Strebel invariant. We also produce examples of 4-manifolds W such that, for every compact Kahler manifold M, the product Mtimes W has the rational homotopy type of a Kahler manifold, yet Mtimes W admits no Kahler metric." @default.
• W1621970189 created "2016-06-24" @default.
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• W1621970189 date "2009-03-13" @default.
• W1621970189 modified "2023-09-27" @default.
• W1621970189 title "Geometric and algebraic aspects of 1-formality" @default.
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• W1621970189 hasPublicationYear "2009" @default.
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