Hirota quadratic equations for the Gromov-Witten invariants of \(\mathbb{P}_{n - 2 , 2 , 2}^1\)

DOI10.1016/j.aim.2021.107860OpenAlexW3179316273MaRDI QIDQ2042018

Jipeng Cheng, Todor Milanov

Publication date: 26 July 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.03150

zbMATH Keywords

Gromov-Witten invariantsextended Kac-Wakimoto hierarchyFano orbifold line of D type

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)

Related Items (2)

Symmetries and bilinear equations for the modified BKP hierarchy ⋮ A new generalized constrained modified KP hierarchy

Cites Work

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• The extended D-Toda hierarchy
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• Intersection theory on the moduli space of curves and the matrix Airy function
• The period map for quantum cohomology of \(\mathbb{P}^2\)
• The phase factors in singularity theory
• The total ancestor potential in singularity theory
• The spaces of Laurent polynomials, Gromov-Witten theory of ℙ1-orbifolds and integrable hierarchies
• Bosonic and Fermionic Realizations of The Affine Algebra sˆo_2n

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