WDVV-type relations for Welschinger invariants: applications

zbMath1476.14096arXiv1809.08938MaRDI QIDQ2038544

Xujia Chen, Aleksey Zinger

Publication date: 7 July 2021

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.08938

zbMATH Keywords

Gromov-Witten invariantsWelschinger invariantsWDVV relations

Mathematics Subject Classification ID

Real algebraic sets (14P05) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items (2)

Steenrod pseudocycles, lifted cobordisms, and Solomon's relations for Welschinger invariants ⋮ On wall-crossing invariance of certain sums of Welschinger numbers

Uses Software

• Mathematica

Cites Work

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• Welschinger invariants of real Del Pezzo surfaces of degree \(\geq 3\)
• Real Gromov-Witten theory in all genera and real enumerative geometry: computation
• Floor diagrams relative to a conic, and GW-W invariants of Del Pezzo surfaces
• Behavior of Welschinger invariants under Morse simplifications
• Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry
• WDVV-type relations for disk Gromov-Witten invariants in dimension 6
• Welschinger invariants of real del Pezzo surfaces of degree ≥ 2
• Recursive Formulas for Welschinger Invariants of the Projective Plane
• A mathematical theory of quantum cohomology

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