An algebro-geometric proof of Witten’s conjecture
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- by M. E. Kazarian and S. K. Lando
- J. Amer. Math. Soc. 20 (2007), 1079-1089
- DOI: https://doi.org/10.1090/S0894-0347-07-00566-8
- Published electronically: March 23, 2007
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Abstract:
We present a new proof of Witten’s conjecture. The proof is based on the analysis of the relationship between intersection indices on moduli spaces of complex curves and Hurwitz numbers enumerating ramified coverings of the $2$-sphere.References
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Bibliographic Information
- M. E. Kazarian
- Affiliation: Steklov Institute of Mathematics, Russian Academy of Sciences, 8 Gubkina Street, Moscow, 117966 Russia, and The Poncelet Laboratory, Independent University of Moscow, 11, Bolshoy Vlasyevskiy Pereulok, Moscow, 121002 Russia
- Email: kazarian@mccme.ru
- S. K. Lando
- Affiliation: Institute for System Research, Russian Academy of Sciences, Nakhimovskii pr., 36 korp. 1, Moscow, 117218 Russia, and The Poncelet Laboratory, Independent University of Moscow, 11, Bolshoy Vlasyevskiy Pereulok, Moscow, 121002 Russia
- Email: lando@mccme.ru
- Received by editor(s): August 5, 2005
- Published electronically: March 23, 2007
- Additional Notes: The first author was supported in part by the grants RFBR 04-01-00762, RFBR 05-01-01012-a, NWO-RFBR 047.011.2004.026 (RFBR 05-02-89000-NWOa), GIMP ANR-05-BLAN-0029-01.
The second author was supported in part by the grants ACI-NIM-2004-243 (Noeuds et tresses), RFBR 05-01-01012-a, NWO-RFBR 047.011.2004.026 (RFBR 05-02-89000-NWOa), GIMP ANR-05-BLAN-0029-01. - © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: J. Amer. Math. Soc. 20 (2007), 1079-1089
- MSC (2000): Primary 14H70; Secondary 14H10
- DOI: https://doi.org/10.1090/S0894-0347-07-00566-8
- MathSciNet review: 2328716