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Open WDVV equations and Frobenius structures for toric Calabi-Yau 3-folds

Forum of Mathematics, Sigma
Let X be a toric Calabi-Yau 3-fold and let $L\subset X$ be an Aganagic-Vafa outer brane. We prove two versions of open WDVV equations for the open Gromov-Witten theory of $(X,L)$ .
Song Yu, Zhengyu Zong
doaj +1 more source

A mirror theorem for Gromov-Witten theory without convexity

Forum of Mathematics, Sigma
We prove a genus zero Givental-style mirror theorem for all complete intersections in toric Deligne-Mumford stacks, which provides an explicit slice called big I-function on Givental’s Lagrangian cone for such targets.
Jun Wang
doaj +1 more source

Relative quantum cohomology of the Chiang Lagrangian

Forum of Mathematics, Sigma
We compute the open Gromov-Witten disk invariants and the relative quantum cohomology of the Chiang Lagrangian $L_\triangle \subset \mathbb {C}P^3$ .
Anna Hollands +4 more
doaj +1 more source

Symplectic field theory and its applications

, 2007
Y. Eliashberg
semanticscholar +1 more source

Another Proof for the Presentation of the Quantum Cohomology of the Moduli of Bundles over a Riemann Surface

, 2002
V. Muñoz
semanticscholar +1 more source

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14n35

Mirror Symmetry, Hodge Theory and Differential Equations