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arXiv · 2409.03922

On the exponential type conjecture

Zihong Chen
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Abstract

We prove that the small quantum t-connection on a closed monotone symplectic manifold is of exponential type and has quasi-unipotent regularized monodromies at t=0. This answers a conjecture of Katzarkov-Kontsevich-Pantev and Galkin-Golyshev-Iritani for those classes of symplectic manifolds. The proof follows a reduction to positive characteristics argument, and the main tools of the proof are Katz's local monodromy theorem in differential equations and quantum Steenrod operations in equivariant Gromov-Witten theory with mod p coefficients.

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Zihong Chen. 2024-09-05. On the exponential type conjecture. https://arxiv.org/abs/2409.03922

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