Corpus ID: 226965545

Difference equation for quintic 3-fold.

@article{Wen2020DifferenceEF,
  title={Difference equation for quintic 3-fold.},
  author={Yaoxiong Wen},
  journal={arXiv: Algebraic Geometry},
  year={2020}
}
  • Yaoxiong Wen
  • Published 15 November 2020
  • Mathematics
  • arXiv: Algebraic Geometry
In this paper, we use the Mellin-Barnes method to relate solutions of certain type difference equations at $Q=0$ and $Q=\infty$. Then, we consider two special cases; one is the difference equation of $K$-theoretic $I$-function of the quintic, which is of degree 25; we use Adam's method to find the extra 20 solutions at $Q=0$. Another example is a Fuchsian case, which is confluent to the differential equation of cohomological $I$-function of the quintic. We compute the connection matrix and… Expand
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Quantum $K$-theory and $q$-Difference equations
  • Y. Ruan, Yaoxiong Wen
  • Mathematics
  • 2021
This is a set of lecture notes for the first author’s lectures on the difference equations in 2019 at the Institute of Advanced Study for Mathematics at Zhejiang University. We focus on explicitExpand
Confluence in quantum K-theory of weak Fano manifolds and q-oscillatory integrals for toric manifolds
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 the Novikov variables, the smallExpand
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