BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Deformation of Dirac structures via Lâ algebras Scott, Geoffrey


The deformation theory of a Dirac structure is controlled by a differential graded Lie algebra (dgLa) which depends on the choice of an auxillary transverse Dirac structure. In this talk, we show that different choices of transverse Dirac structure may lead to dgLas which are not isomorphic (as dgLas), but which are isomorphic as $L_{\infty}$-algebras. We apply our results to study the Kodaira-Spencer deformation complex of a complex manifold.

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