Hodge-theoretic variants of the Hopf and Singer Conjectures
arXiv:2310.14131
Abstract
We propose several Hodge theoretic analogues of the conjectures of Hopf and Singer, and prove them in some special cases.
v1. Submitted to the Proceedings of the AMS Special Session on Singer-Hopf Conjecture in Geometry and Topology; comments are very welcome! v2. Incorporated referees' suggestions, in particular Remark 2.5 is new. To appear in Contemp. Math