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The Berkovits complex and semi-free extensions of Koszul algebras

Author
Galvez, M.; Gorbounov, V.; Shaikh, Z.; Tonks, A.
Type of activity
Report
Date
2015-08-18
Project funding
Geomatría algebraica, simpléctica, aritmética y aplicaciones.
Geometria de varietats i aplicacions
Geometry and topology of varieties, algebra and applications
Repository
http://hdl.handle.net/2117/84058 Open in new window
URL
http://arxiv.org/abs/1504.07489 Open in new window
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.
Citation
Galvez, M., Gorbounov, V., Shaikh, Z., Tonks, A. "The Berkovits complex and semi-free extensions of Koszul algebras". 2015.
Keywords
Mathematical Physics, Quantum Algebra
Group of research
GEOMVAP - Geometry of Manifolds and Applications

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