The solution on the geography-problem of non-formal compact (almost) contact manifolds

2021/04/07 by Bock, Christoph
#16E45 #55P62 #55S30 #Algebraic Topology (math.AT) #FOS: Mathematics #Primary: 57R17 #Secondary: 57K50 #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2104.03031

Abstract

Let (m,b) be a pair of natural numbers. For m odd with m ≥ 7 (resp. m ≥ 5) and b=1 (resp. b=0) we show that there is a non-formal compact (almost) contact m-manifold with first Betti number b₁ = b. Moreover, in the case b = 0 with m ≥ 7, the manifold even is simply-connected.

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