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.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

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.

متن کامل

The Α-invariant on Toric Fano Manifolds

The global holomorphic invariant αG(X) introduced by Tian [?], Tian and Yau [?] is closely related to the existence of Kähler-Einstein metrics. In his solution to the Calabi conjecture, Yau [?] proved the existence of a Kähler-Einstein metric on compact Kähler manifolds with nonpositive first Chern class. Kähler-Einstein metrics do not always exist in the case when the first Chern class is posi...

متن کامل

The Α-invariants on Toric Fano Manifolds

The global holomorphic invariant αG(M) introduced by Tian[14], Tian and Yau[13] is closely related to the existence of Kähler-Einstein metrics. In his solution to the Calabi conjecture, Yau[19] proved the existence of a Kähler-Einstein metric on compact Kähler manifolds with nonpositive first Chern class. Kähler-Einstein metrics do not always exist in the case when the first Chern class is posi...

متن کامل

Greatest lower bounds on Ricci curvature for toric Fano manifolds

In this short note, based on the work of Wang and Zhu (2004) [8], we determine the greatest lower bounds on Ricci curvature for all toric Fano manifolds. © 2011 Elsevier Inc. All rights reserved.

متن کامل

Mirror Symmetry for Toric Fano Manifolds via Syz Transformations

We construct and apply Strominger-Yau-Zaslow mirror transformations to understand the geometry of the mirror symmetry between toric Fano manifolds and Landau-Ginzburg models.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2022

ISSN: ['1857-8365', '1857-8438']

DOI: https://doi.org/10.1016/j.aim.2022.108682