Communications in Mathematical Physics

, Volume 145, Issue 3, pp 561–593 | Cite as

Semi-infinite homology and 2D gravity. I

  • Bong H. Lian
  • Gregg J. Zuckerman


In [33], we studied the constraint problem for two-dimensional quantum gravity in the conformal gauge. In this gauge, we proposed an ansatz for the gravitational sector. Using this ansatz, we established a striking connection between the matrix models and continuum 2D gravity. We also announced several results on semi-infinite homology of the Virasoro algebra with coefficients in a suitable class of positive energy modules. In this article, we will provide details of the proof of the announced results.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Gravity 
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Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • Bong H. Lian
    • 1
    • 2
  • Gregg J. Zuckerman
    • 3
  1. 1.Center for Theoretical PhysicsYale UniversityNew HavenUSA
  2. 2.Department of MathematicsUniversity of TorontoTorontoCanada
  3. 3.Department of MathematicsYale UniversityNew HavenUSA

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