Nontrivial Massey products on compact K\'ahler manifolds

Autor:	Placini, Giovanni, Stelzig, Jonas, Zoller, Leopold
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Topology Mathematics - Algebraic Geometry Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	We show that the bigraded quasi-isomorphism type of the bigraded, bidifferential algebra of forms on a compact K\"ahler manifold generally contains more information than the de Rham cohomology algebra with its real Hodge structure. More precisely, on any closed Riemann surface of genus at least two, there is a nontrivial ABC-Massey product. Furthermore, starting from dimension three, there are simply connected projective manifolds with a nonzero ABC-Massey product of three divisor classes. In particular, compact K\"ahler manifolds are generally not formal in the sense of pluripotential homotopy theory. Comment: 10 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.09867 Zobrazit plný text záznamu View this record from Arxiv