Abstract
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 language | English |
|---|---|
| Pages (from-to) | 363-384 |
| Number of pages | 22 |
| Journal | Annales de la Faculté des Sciences de Toulouse |
| Volume | XXV |
| Issue number | 2-3 |
| DOIs | |
| Publication status | Published - 2016 |
Bibliographical note
Acknowledgments. — The first author was partially supported by SpanishGovernment grants MTM2010-15831, MTM2010-20692, MTM2012-38122-
C03-01, MTM2013-42178-P and MTM2015-69135-P and Catalan Government
grants SGR1092-2009 and SGR634-2014, and the fourth author by
MTM2010-15831 and MTM2013-42178-P. All the authors visited the Max
Planck Institute while working on this project and are grateful to the Institute
for excellent working conditions. The authors also thank to L.A. Bokut,
A. Losev and M. Movshev for very useful discussions and advice, and A.
Conca and S. Iyengar for pointing us to Avramov’s commutative algebra
constructions in [2]. We are also grateful to the referee for pointing out an
error in [8, Theorem 4.4.1], which we initially used to construct the smaller
complex for a larger class of algebras. Of course we also are very grateful
to Vadim Schechtman with whom this project originally was started and to
whom we dedicate it with our best wishes.