The Cohomology of Algebras Over Moduli Spaces

  • Takashi Kimura
  • Alexander A. Voronov
Part of the Progress in Mathematics book series (PM, volume 129)


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.


Modulus Space Associative Algebra Homotopy Class Conformal Field Theory Riemann Sphere 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Birkhäuser Boston 1995

Authors and Affiliations

  • Takashi Kimura
    • 1
  • Alexander A. Voronov
    • 2
  1. 1.Department of MathematicsUniversity of North CarolinaChapel HillUSA
  2. 2.Department of MathematicsUniversity of PennsylvaniaPhiladelphiaUSA

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