On the Quantum K-Theory of the Quintic

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Authors: Garoufalidis, Stavros, Scheidegger, Emanuel
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211524
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the Quantum K-Theory of the Quintic. Stavros Garoufalidis and Emanuel Scheidegger. SIGMA 18 (2022), 021, 20 pages

Quantum K-theory of a smooth projective variety at genus zero is a collection of integers that can be assembled into a generating series 𝐽(𝑄, 𝑞, 𝘵) that satisfies a system of linear differential equations with respect to 𝘵 and 𝑞-difference equations with respect to 𝑄. With some mild assumptions on t...