Injective resolutions of BG and derived moduli spaces of local systems

Details Injective resolutions of BG and derived moduli spaces of local systems Injective resolutions of BG and derived moduli spaces of local systems

1997-10-24

arxiv.org/abs/alg-geom/9710027v1

Mathematics

Algebraic Geometry

12 pages, plain TEX

Scientific paper

It was suggested on several occasions by Deligne, Drinfeld and Kontsevich that all the moduli spaces arising in the classical problems of deformation theory should be extended to natural "derived" moduli spaces which are always smooth in an appropriate sense and whose tangent spaces involve the entire cohomology of the sheaf of infinitesimal automorphisms, not just H^1. In this note we give an algebraic construction of such an extension for the simplest class of moduli spaces, namely for moduli of local systems (representations of the fundamental group).

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