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The curvature problem for formal and infinitesimal deformations

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 نشر من قبل Wendy Lowen
 تاريخ النشر 2015
  مجال البحث
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We interpret all Maurer-Cartan elements in the formal Hochschild complex of a small dg category which is cohomologically bounded above in terms of torsion Morita deformations. This solves the curvature problem, i.e. the phenomenon that such Maurer-Cartan elements naturally parameterize curved A_infinity deformations. In the infinitesimal setup, we show how (n+1)-th order curved deformations give rise to n-th order uncurved Morita deformations.



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