Topological Recursion Relation for $\psi_1\psi_2$ in $\overline{\mathcal{M}}_{2,2}$

I. I. Shneiberg

Geodesic

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Topological Recursion Relation for $\psi_1\psi_2$ in $\overline{\mathcal{M}}_{2,2}$

I. I. Shneiberg

Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 1, pp. 91-94

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Résumé

We give the definition of the full potential with descendants, which is a genus expansion of the Barannikov–Kontsevich solution of the WDVV equation. This potential satisfies the Getzler relation, which comes from the geometry of the moduli space of curves $\overline{\mathcal{M}}_{2,2}$.

Keywords: WDVV equation, tautological relations.

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     author = {I. I. Shneiberg},
     title = {Topological {Recursion} {Relation} for $\psi_1\psi_2$ in $\overline{\mathcal{M}}_{2,2}$},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {91--94},
     publisher = {mathdoc},
     volume = {42},
     number = {1},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2008_42_1_a10/}
}

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I. I. Shneiberg. Topological Recursion Relation for $\psi_1\psi_2$ in $\overline{\mathcal{M}}_{2,2}$. Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 1, pp. 91-94. http://geodesic.mathdoc.fr/item/FAA_2008_42_1_a10/