- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:12
Journal of Noncommutative Geometry
J. Noncommut. Geom.
JNCG
1661-6952
1661-6960
Global analysis, analysis on manifolds
General
10.4171/JNCG
http://www.ems-ph.org/doi/10.4171/JNCG
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
3
2009
4
A period map for generalized deformations
Domenico
Fiorenza
Università di Roma La Sapienza, ROMA, ITALY
Marco
Manetti
Università di Roma La Sapienza, ROMA, ITALY
Differential graded Lie algebras, symmetric coalgebras, L∞-algebras, functors of Artin rings, Kähler manifolds, period map
For every compact Kähler manifold we give a canonical extension of Griffith’s period map to generalized deformations, intended as solutions of Maurer–Cartan equation in the algebra of polyvector fields. Our construction involves the notion of Cartan homotopy and a canonical L∞-structure on mapping cones of morphisms of differential graded Lie algebras.
Algebraic geometry
Commutative rings and algebras
Nonassociative rings and algebras
General
579
597
10.4171/JNCG/47
http://www.ems-ph.org/doi/10.4171/JNCG/47