English

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

Algebraic Topology 2026-03-10 v8 Symplectic Geometry

Abstract

Let (m,b)(m,b) be a pair of natural numbers. For mm odd with m7m \ge 7 (resp. m5m \ge 5) and b=1b=1 (resp. b=0b=0) we show that there is a non-formal compact (almost) contact mm-manifold with first Betti number b1=bb_1 = b. Moreover, in the case b=0b = 0 with m7m \ge 7, the manifold even is simply-connected.

Keywords

Cite

@article{arxiv.2104.03031,
  title  = {The solution on the geography-problem of non-formal compact (almost) contact manifolds},
  author = {Christoph Bock},
  journal= {arXiv preprint arXiv:2104.03031},
  year   = {2026}
}

Comments

ad v8: Theorem 2.2 has been corrected