Multiple quantum products in toric varieties

DOI10.1155/S0161171202107022zbMATH Open1018.53039arXivmath/0107030MaRDI QIDQ700919

Holger Spielberg

Publication date: 15 October 2002

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Abstract: We generalize the author's formula for Gromov-Witten invariants of symplectic toric manifolds (see math.AG/0006156) to those needed to compute the quantum product of more than two classes directly, i.e. involving the pull-back of the Poincar'e dual of the point class in the Deligne-Mumford spaces $mathcal{M}_{0,m}$.

Full work available at URL: https://arxiv.org/abs/math/0107030

zbMATH Keywords

toric varietiessymplectic manifoldscohomology classesquantum cohomologyGromov-Witten invariantsmoduli spaces of stable curves

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

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Unnamed Item ⋮ Mirror symmetry for toric Fano manifolds via SYZ transformations ⋮ The quantum orbifold cohomology of weighted projective spaces ⋮ A remark on the Gromov-Witten-Welschinger invariants of \(\mathbb{C}P^3\# \overline{\mathbb{C}P}^{3_*}\) ⋮ A reconstruction theorem in quantum cohomology and quantum K -theory ⋮ Unnamed Item

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