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 L. Avramov. In this paper we bridge between these three approaches, by providing a complex that is useful in the calculation of some homologies.
En étendant des idées de W.Siegel sur la quantisation des cordes, N. Berkovits [3] a fait quelques remarques qui méritent d’être étudiées et développées. En fait, des rapports intéressants sur ce travail sont déjà parus dans la littérature mathématique [8, 15], liés aussi à une contruction due à L. Avramov. Dans cet article, on tend des ponts entre ces trois approches, en utilisant la construction d’un complexe approprié au calcul de certains groupes d’homologie.
DOI: 10.5802/afst.1497
Imma Gálvez 1; Vassily Gorbounov 2; Zain Shaikh 3; Andrew Tonks 4
@article{AFST_2016_6_25_2-3_363_0,
author = {Imma G\'alvez and Vassily Gorbounov and Zain Shaikh and Andrew Tonks},
title = {The {Berkovits} {Complex} and {Semi-free} {Extensions} of {Koszul} {Algebras}},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {363--384},
publisher = {Universit\'e Paul Sabatier, Toulouse},
volume = {Ser. 6, 25},
number = {2-3},
year = {2016},
doi = {10.5802/afst.1497},
zbl = {1411.13015},
mrnumber = {3530161},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1497/}
}
TY - JOUR AU - Imma Gálvez AU - Vassily Gorbounov AU - Zain Shaikh AU - Andrew Tonks TI - The Berkovits Complex and Semi-free Extensions of Koszul Algebras JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2016 SP - 363 EP - 384 VL - 25 IS - 2-3 PB - Université Paul Sabatier, Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.1497/ DO - 10.5802/afst.1497 LA - en ID - AFST_2016_6_25_2-3_363_0 ER -
%0 Journal Article %A Imma Gálvez %A Vassily Gorbounov %A Zain Shaikh %A Andrew Tonks %T The Berkovits Complex and Semi-free Extensions of Koszul Algebras %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2016 %P 363-384 %V 25 %N 2-3 %I Université Paul Sabatier, Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.1497/ %R 10.5802/afst.1497 %G en %F AFST_2016_6_25_2-3_363_0
Imma Gálvez; Vassily Gorbounov; Zain Shaikh; Andrew Tonks. The Berkovits Complex and Semi-free Extensions of Koszul Algebras. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 25 (2016) no. 2-3, pp. 363-384. doi : 10.5802/afst.1497. https://afst.centre-mersenne.org/articles/10.5802/afst.1497/
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