On the quantum \(K\)-theory of the quintic

DOI10.3842/SIGMA.2022.021zbMath1487.14120arXiv2101.07490OpenAlexW4287373999MaRDI QIDQ2120867

Emanuel Scheidegger, Stavros Garoufalidis

Publication date: 1 April 2022

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.07490

zbMATH Keywords

Calabi-Yau manifoldsChern-Simons theoryquantum cohomology\(q\)-difference equationsreconstructionGromov-Witten invariants\(J\)-functionquintic\(q\)-holonomic functionsGopakumar-Vafa invariantsquantum K-theory\(q\)-Frobenius method3d-3d correspondencegauged linear \(\sigma\) models

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Difference equations, scaling ((q)-differences) (39A13) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Relations of (K)-theory with cohomology theories (19E20)

Related Items (3)

Difference equation for quintic 3-fold ⋮ BPS indices, modularity and perturbations in quantum K-theory ⋮ Quantum \(K\)-theory and \(q\)-difference equations

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