On two families of Nekrasov-Okounkov type formulas
Abstract
In this paper, we use the vacuum expectation value formula for the topological vertex and its rotation symmetry to derive two families of Nekrasov-Okounkov type formulas. More precisely, for each positive integer $N$, each family of formulas depends on $2N+1$ parameters. The left-hand side of the formula is a sum over $N$-tuples of partitions, and the right-hand side of the formula is an infinite product.
Fields of Study & Subjects
Optical Polarization and Ellipsometry
Advanced Mathematical Theories and Applications
Fractal and DNA sequence analysis
Publication details
- Journal / source
- Известия Российской академии наук Серия математическая
- Volume
- 90
- Issue
- 4
- Pages
- 166–194
- Publication date
- 1 January 2026
- Language
- EN