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The Berkovits Complex and Semi-free Extensions of Koszul Algebras

Commutative Algebra 2015-08-19 v2 Mathematical Physics math.MP Quantum Algebra

Abstract

In his extension 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 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.

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Cite

@article{arxiv.1504.07489,
  title  = {The Berkovits Complex and Semi-free Extensions of Koszul Algebras},
  author = {Imma Gálvez and Vassily Gorbounov and Zain Shaikh and Andrew Tonks},
  journal= {arXiv preprint arXiv:1504.07489},
  year   = {2015}
}

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15 pages