Quantum differential equations and helices

Cotti, Giordano

doi:10.1007/978-3-030-53305-2_3

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Quantum differential equations and helices

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Cotti, Giordano
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1007/978-3-030-53305-2_3
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1911.11047.pdf
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Citation

Cotti, G. (2020). Quantum differential equations and helices. In P. Kielanowski, A. Odzijewicz, & E. Previato (Eds.), Geometric Methods in Physics XXXVIII: workshop, Białowieża, Poland, 2019 (pp. 41-65). Cham: Springer.

Cite as: https://hdl.handle.net/21.11116/0000-0007-663E-2

Abstract

We give an overview of recent results obtained in joint works with Dubrovin and Guzzetti (Helix structures in quantum cohomology of Fano varieties, 2018, arXiv:1811.09235), and Cotti and Varchenko (Equivariant quantum differential equation and qKZ equations for a projective space: Stokes bases as exceptional collections, Stokes matrices as Gram matrices, and B-Theorem. In: Krichever, I., Novikov, S., Ogievetsky, O., Shlosman, S. (Eds.) Integrability, quantization and geometry–Dubrovin’s memorial volume. Proceedings of Symposia in Pure Mathematics (PSPUM) book series, AMS).