The Golodness of a simplicial complex is defined algebraically in terms of
the Stanley-Reisner ring, and it has been a long-standing problem to find its
combinatorial characterization. The tightness of a simplicial complex is a
combinatorial analogue of a tight embedding of a manifold into the Euclidean
space, and has been studied in connection to minimal manifold triangulations.
In this paper, we prove that tight complexes are Golod, and as a corollary, we
obtain that for triangulations of closed connected orientable manifolds, the
Golodness and the tightness are equivalent.Comment: 17 pages, minor correction