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arXiv 1505.03419math.AG
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重言环中判别式附近的Frobenius流形与关系

Frobenius Manifolds near the Discriminant and Relations in the Tautological Ring

Felix Janda

摘要:

我们给出了一个判别式的光滑点附近的广义半单(不一定是共形)Frobenius流形局部推广到上同调域论的准则。作为一个应用,我们表明,一个大的重言式关系的Givental-Teleman分类的任何一般半单上同调域论遵循Pixton的广义Faber-Zagier关系。

英文摘要:

We give a criterion for extending a generically semisimple (not necessarily conformal) Frobenius manifold locally near a smooth point of the discriminant to a cohomological field theory. As an application, we show that a large set of tautological relations related to the Givental--Teleman classification for any generically semisimple cohomological field theories follow from Pixton's generalized Faber--Zagier relations.

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