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De Rham complex of a Gerstenhaber algebra

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 Added by Vadim Schechtman
 Publication date 2015
  fields
and research's language is English




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We introduce a notion of the De Rham complex of a Gerstenhaber algebra which produces a notion of a quasi-BV structure, and allows to classify these structures, generalizing the classical results for polyvector fields.



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143 - Hongshan Li 2018
We will prove a Kodaira-Nakano type of vanishing theorem for the logarithmic de Rham complex of unitary local system. We will then study the weight filtration on the logarithmic de Rham complex, and prove a stronger statement for the associated graded complex.
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