翻訳と辞書
Words near each other
・ Lambda Crucis
・ Lambda cube
・ Lambda Cygni
・ Lambda Delta Sigma
・ Lambda diode
・ Lambda distribution
・ Lambda Draconis
・ Lambda Epsilon Chi
・ Lambda Equulei
・ Lambda Eridani
・ Lambda Eridani variable
・ Lambda expression
・ Lambda Fornacis
・ Lambda Foundation
・ Lambda function
Lambda g conjecture
・ Lambda García
・ Lambda Geminorum
・ Lambda Gruis
・ Lambda Herculis
・ Lambda Hydrae
・ Lambda Iota Society
・ Lambda Iota Tau
・ Lambda Island
・ Lambda Island, Bermuda
・ Lambda Kappa Sigma
・ Lambda Lambda Lambda
・ Lambda Legal
・ Lambda Leonis
・ Lambda Leporis


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

Lambda g conjecture : ウィキペディア英語版
Lambda g conjecture

In algebraic geometry, the \lambda_g-conjecture gives a particularly simple formula for certain integrals on the Deligne–Mumford compactification \overline_ 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 \lambda_g, the ''g''th Chern class of the Hodge bundle, appearing in its integrand. The other factor is a monomial in the \psi_i, 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 \lambda_g-formula says that
: \int\limits_} \psi_1^ \cdot \dots \cdot \psi_n^\lambda_g = \binom \int\limits_} \psi_1^\lambda_g.
Together with the formula
:\int\limits_} \psi_1^\lambda_g = \frac|},
where the ''B''2''g'' are Bernoulli numbers, therefore the \lambda_g-formula gives a way to calculate all integrals on \overline_ involving products in \psi-classes and a factor of \lambda_g.
== 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
翻訳と辞書 : 翻訳のためのインターネットリソース

Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.