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hal-00184885, version 1

Global formality at the $G_\infty$-level

Damien Calaque 12, Michel Van den Bergh

(2007-10-31)

Abstract: In this paper we prove that the sheaf of L-poly-differential operators for a locally free Lie algebroid L is formal when viewed as a sheaf of $G_\infty$-algebras via Tamarkin's morphism of DG-operads $G_\infty\r B_\infty$.

  • 1:  Institut Camille Jordan (ICJ)
  • CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon
  • 2:  ETH D-MATH (ETH)
  • Swiss Federal Institute of Technology Zurich
  • Domain : Mathematics/Quantum Algebra
    Mathematics/Algebraic Geometry
 
  • hal-00184885, version 1
  • oai:hal.archives-ouvertes.fr:hal-00184885
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  • Submitted on: Friday, 2 November 2007 16:42:08
  • Updated on: Friday, 2 November 2007 16:42:08