We describe some L∞ model for the local period map of a compact Kähler manifold. Applications include the study of deformations with associated variation of Hodge structure constrained by certain closed strata of the Grassmannian of the de Rham cohomology. As a by-product, we obtain an interpretation in the framework of deformation theory of the Yukawa coupling.
Algebraic model of formal period maps and Yukawa algebras / Bandiera, Ruggero; Manetti, Marco. - In: LETTERS IN MATHEMATICAL PHYSICS. - ISSN 0377-9017. - STAMPA. - 108:(2018), pp. 2055-2097. [10.1007/s11005-018-1064-1]
Algebraic model of formal period maps and Yukawa algebras
Ruggero Bandiera
;Marco Manetti
2018
Abstract
We describe some L∞ model for the local period map of a compact Kähler manifold. Applications include the study of deformations with associated variation of Hodge structure constrained by certain closed strata of the Grassmannian of the de Rham cohomology. As a by-product, we obtain an interpretation in the framework of deformation theory of the Yukawa coupling.File allegati a questo prodotto
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Note: https://arxiv.org/abs/1506.05753
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