Gromov-Witten theory of Fano orbifold curves, gamma integral structures and ADE-Toda hierarchies

DOI10.2140/gt.2016.20.2135zbMath1394.14037arXiv1401.5778OpenAlexW2146506028MaRDI QIDQ315268

Todor Milanov, Yefeng Shen, Hsian-Hua Tseng

Publication date: 20 September 2016

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.5778

zbMATH Keywords

Gromov-Witten theoryADE-Toda hierarchiesFano orbifold curves

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Fano varieties (14J45)

Related Items (16)

The extended D-Toda hierarchy ⋮ Twisted logarithmic modules of vertex algebras ⋮ Mirror symmetry for extended affine Weyl groups ⋮ Bilinear equations in Darboux transformations by boson-fermion correspondence ⋮ Darboux transformations of the modified BKP hierarchy by fermionic approach ⋮ Frobenius manifolds and a new class of extended affine Weyl groups of a-type ⋮ Variational bihamiltonian cohomologies and integrable hierarchies. I: Foundations ⋮ A new generalized constrained modified KP hierarchy ⋮ Quantum invariants via tautological relations ⋮ The period map for quantum cohomology of \(\mathbb{P}^2\) ⋮ Extended affine Weyl groups of BCD-type: their Frobenius manifolds and Landau-Ginzburg superpotentials ⋮ On the extended multi-component Toda hierarchy ⋮ Double ramification cycles and integrable hierarchies ⋮ Hirota quadratic equations for the Gromov-Witten invariants of \(\mathbb{P}_{n - 2 , 2 , 2}^1\) ⋮ Gromov-Witten Theory of Quotients of Fermat Calabi-Yau varieties ⋮ Dressing operators in equivariant Gromov–Witten theory of CP1

This page was built for publication: Gromov-Witten theory of Fano orbifold curves, gamma integral structures and ADE-Toda hierarchies