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7-dimensional closed and simply-connected manifolds have been attractive ascentral and explicit objects in algebraic topology and differential topology ofhigher dimensional closed and simply-connected manifolds, which were studiedactively especially in the 1950s--60s.  Attractive studies of the class of these $7$-dimensional manifolds werestarted by the discovery of so-called exotic spheres by Milnor. It hasinfluenced on the understanding of higher dimensional closed andsimply-connected manifolds via algebraic and abstract objects. Recently thisclass is studied via more concrete notions from algebraic topology such asconcrete bordism theory by Crowley, Kreck, and so on.  As a new kind of fundamental and important studies, the author has beenchallenging understanding the class in constructive ways via construction offold maps, which are higher dimensional versions of Morse functions. Thepresent paper presents a new general method to construct ones on spin manifoldsof the class.

New explicit construction of fold maps on general 7-dimensional closed and simply-connected spin manifolds