Invertible cohomological field theories and Weil-Petersson volumes
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Publication:1977478
DOI10.5802/aif.1764zbMath1001.14008arXivmath/9902051OpenAlexW2028752706MaRDI QIDQ1977478
Publication date: 17 May 2000
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9902051
potentialmoduli spacesKdV equationquantum cohomologyVirasoro constraintsWeil-Petersson volumesoperadsSchur polynomialscohomological field theoriesstationary phase method
Families, moduli of curves (algebraic) (14H10) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Quantization in field theory; cohomological methods (81T70) Moduli problems for topological structures (58D29)
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Cites Work
- Unnamed Item
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- Higher Weil-Petersson volumes of moduli spaces of stable \(n\)-pointed curves
- The hyperbolic metric and the geometry of the universal curve
- Intersection numbers and rank one cohomological field theories in genus one
- Gromov-Witten classes, quantum cohomology, and enumerative geometry
- Quantum cohomology of a product (with appendix by R. Kaufmann)
- Hodge integrals and Gromov-Witten theory
- Combinatorial and algebro-geometric cohomology classes on the moduli spaces of curves
- Modular operads
- COMBINATORICS OF THE MODULAR GROUP II THE KONTSEVICH INTEGRALS
- ON THE GENUS EXPANSION IN THE TOPOLOGICAL STRING THEORY