For every toric mirror curve with a generic one-node degeneration and every genus at least 2, the conifold free energy equals B_{2g}/(2g(2g-2)) t^{2-2g} plus a holomorphic remainder.
Topological open strings on orbifolds
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We use the remodeling approach to the B-model topological string in terms of recursion relations to study open string amplitudes at orbifold points. To this end, we clarify modular properties of the open amplitudes and rewrite them in a form that makes their transformation properties under the modular group manifest. We exemplify this procedure for the C^3/Z_3 orbifold point of local P^2, where we present results for topological string amplitudes for genus zero and up to three holes, and for the one-holed torus. These amplitudes can be understood as generating functions for either open orbifold Gromov-Witten invariants of C^3/Z_3, or correlation functions in the orbifold CFT involving insertions of both bulk and boundary operators.
fields
math.AG 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Conifold Gap Theorem for Topological Recursion
For every toric mirror curve with a generic one-node degeneration and every genus at least 2, the conifold free energy equals B_{2g}/(2g(2g-2)) t^{2-2g} plus a holomorphic remainder.