The Gerby Gopakumar-Mariño-Vafa Formula

Abstract

We prove a formula for certain cubic ${\mathbb{Z}}_n$-Hodge integrals in terms of loop Schur functions. We use this identity to prove the Gromov-Witten/Donaldson-Thomas correspondence for local ${\mathbb{Z}}_n$-gerbes over $\proj^1$.

43 pages, Published Version

References in corpus (3)

• The Topological Vertex
• Hodge integrals and invariants of the unknot
• A Mathematical Theory of the Topological Vertex

Cited by in corpus (4)

• A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type
• A quantum Murnaghan--Nakayama rule for the flag manifold
• The orbifold DT/PT vertex correspondence
• Gromov--Witten theory of $[{\mathbb{C}}^2/{\mathbb{Z}}_{n+1}]\times {\mathbb{P}}^1$