2 D ec 2 00 4 FORMALITY IN 7 AND 8 DIMENSIONS GIL
نویسندگان
چکیده
Using the concept of s-formality we are able to extend the bounds of a Theorem of Miller and show that a compact k-connected 4k + 3or 4k + 4-manifold with bk+1 = 1 is formal. We study simply-connected 7and 8-manifolds with a hard Lefschetz-like property and prove that in this case if b2 = 2, then the manifold is formal, while, in 7-dimensions, if b2 = 3 all Massey products vanish. We finish with examples inspired by symplectic geometry and manifolds with holonomy G2.
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