The Cohomology of Algebras over Moduli Spaces

1994/10/15 by Takashi Kimura, Kimura, Takashi, Alexander A. Voronov +1
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #hep-th #math.QA

paper · pdf · doi:10.48550/arxiv.hep-th/9410108

29 pages, including figures (A few inaccuracies corrected, the reference list expanded)

arxiv created 1994/11/07 · arxiv updated 2009/11/30

Abstract

The purpose of this paper is to introduce the cohomology of various algebras over an operad of moduli spaces including the cohomology of conformal field theories (CFT's) and vertex operator algebras (VOA's). This cohomology theory produces a number of invariants of CFT's and VOA's, one of which is the space of their infinitesimal deformations.

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