Topological String Partition Functions as Equivariant Indices

Abstract

We propose to use the identification of topological string partition functions as equivariant indices on framed moduli spaces of instantons to study the Gopakumar-Vafa conjecture for some local Calabi-Yau geometries.

References in corpus (7)

• Topological Orbifold Models and Quantum Cohomology Rings
• Relative Lefschetz Action and BPS State Counting
• Geometric transitions, Chern-Simons gauge theory and Veneziano type amplitudes
• Delocalized equivariant coholomogy of symmetric products
• Topological Strings, Instantons and Asymptotic Forms of Gopakumar-Vafa Invariants
• M-Theory, Topological Strings and Spinning Black Holes
• Calculations of the Hirzebruch ${\chi }_y$ genera of symmetric products by the holomorphic Lefschetz formula

Cited by in corpus (7)

• Refined BPS state counting from Nekrasov's formula and Macdonald functions
• Changing the preferred direction of the refined topological vertex
• Self-Duality and Self-Similarity of Little String Orbifolds
• Elliptic Virasoro Conformal Blocks
• K-Theory of Hilbert Schemes as a Formal Quantum Field Theory
• On a deformed topological vertex
• Localization and Conjectures from String Duality