We show that the mapping cone of a morphism of differential graded Lie algebras, chi : L -> M, can be canonically endowed with an L-infinity-algebra structure which at the same time lifts the Lie algebra structure on L and the usual differential on the mapping cone. Moreover, this structure is unique up to isomorphisms of L-infinity-algebras.
L-infinity structures on mapping cones / Fiorenza, Domenico; Manetti, Marco. - In: ALGEBRA & NUMBER THEORY. - ISSN 1937-0652. - STAMPA. - 1:(2007), pp. 301-330. [10.2140/ant.2007.1.301]
L-infinity structures on mapping cones
FIORENZA, DOMENICO;MANETTI, Marco
2007
Abstract
We show that the mapping cone of a morphism of differential graded Lie algebras, chi : L -> M, can be canonically endowed with an L-infinity-algebra structure which at the same time lifts the Lie algebra structure on L and the usual differential on the mapping cone. Moreover, this structure is unique up to isomorphisms of L-infinity-algebras.File allegati a questo prodotto
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