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In algebraic geometry, the -conjecture gives a particularly simple formula for certain integrals on the Deligne–Mumford compactification of the moduli space of curves with marked points. It was first found as a consequence of the Virasoro conjecture by . Later, it was proven by using virtual localization in Gromov–Witten theory. It is named after the factor of , the ''g''th Chern class of the Hodge bundle, appearing in its integrand. The other factor is a monomial in the , the first Chern classes of the ''n'' cotangent line bundles, as in Witten's conjecture. Let ''a''1, ..., ''a''''n'' be positive integers whose sum is 2''g'' − 3 + ''n''. Then the -formula says that : Together with the formula : where the ''B''2''g'' are Bernoulli numbers, therefore the -formula gives a way to calculate all integrals on involving products in -classes and a factor of . == References == * * 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Lambda g conjecture」の詳細全文を読む スポンサード リンク
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