Nijenhuis infinity and contractible dg manifolds

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dc.creatorMerkulov, S. A.
dc.date2004-03-15
dc.date2004-03-17
dc.date.accessioned2026-07-07T06:31:53Z
dc.date.available2026-07-07T06:31:53Z
dc.descriptionWe find a minimal differential graded (dg) operad whose generic representations in $R^n$ are in one-to-one correspondence with formal germs of those endomorphisms of the tangent bundle to $R^n$ which satisfy the Nijenhuis integrability condition. This operad is of a surprisingly simple origin -- it is the cobar construction on the quadratic operad of homologically trivial dg Lie algebras. As a by product we obtain a strong homotopy generalization of this geometric structure and show its homotopy equivalence to the structure of contractible dg manifold.
dc.descriptionLaTeX, 18 pages
dc.identifierhttps://arxiv.org/abs/math/0403244
dc.identifierhttp://arxiv.org/abs/math/0403244
dc.identifierCompositio Mathematica 141 (2005) 1238-1254
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98743
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.titleNijenhuis infinity and contractible dg manifolds
dc.typetext

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