Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 5 (2009), 034, 31 pages      arXiv:0712.3670
Contribution to the Special Issue on Kac-Moody Algebras and Applications

Homological Algebra and Divergent Series

Vassily Gorbounov a and Vadim Schechtman b
a) Department of Mathematical Sciences, King's College, University of Aberdeen, Aberdeen, AB24 3UE, UK
b) Laboratoire de Mathématiques Emile Picard, Université Paul Sabatier, Toulouse, France

Received October 01, 2008, in final form March 04, 2009; Published online March 24, 2009

We study some features of infinite resolutions of Koszul algebras motivated by the developments in the string theory initiated by Berkovits.

Key words: Koszul resolution; Koszul duality, divergent series.

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