Confluence in quantum K-theory of weak Fano manifolds and q-oscillatory integrals for toric manifolds
نویسندگان
چکیده
For a smooth projective variety whose anti-canonical bundle is nef, we prove confluence of the small K -theoretic J -function, i.e., after rescaling appropriately Novikov variables, -function has limit when q → 1 , which coincides with cohomological -function. Furthermore, in case Fano toric manifold Picard rank 2, version an identity due to Iritani that compares I and oscillatory integral mirror. In particular, our result yields new proof Iritani's 2.
منابع مشابه
TORIC MORI THEORY AND FANO MANIFOLDS by Jaros law
— The following are the notes to five lectures on toric Mori theory and Fano manifolds given during the school on toric geometry which took place in Grenoble in Summer of 2000.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2022
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2022.108682