The Berkovits Complex and Semi-free Extensions of Koszul Algebras

Imma Galvez, Vasily Gorbunov, Zain Shaikh, Andrew Tonks

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In his extension [3] of W. Siegel’s ideas on string quantization, N. Berkovits made several observations which deserve further study and development. Indeed, interesting accounts of this work have already appeared in the mathematical literature [8, 15] and in a different guise due to Avramov. In this paper we bridge between these three approaches, by providing a complex that is useful in the calculation of some homologies.
Original languageEnglish
Pages (from-to)363-384
Number of pages22
JournalAnnales de la Faculté des Sciences de Toulouse
Issue number2-3
Publication statusPublished - 2016


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