The HOMFLY Polynomial of a Forest Quiver
Abstract
Abstract We define the HOMFLY polynomial of a forest quiver $Q$ using a recursive definition on the underlying graph of the quiver. We then show that this polynomial is equal to the HOMFLY polynomial of any plabic link, which comes from a connected plabic graph whose quiver is $Q$. We also prove a closed-form expression for the HOMFLY polynomial of a forest quiver $Q$ in terms of the independent sets of $Q$.
Fields of Study & Subjects
Advanced Combinatorial Mathematics
Polynomial and algebraic computation
Commutative Algebra and Its Applications
Publication details
- Journal / source
- International Mathematics Research Notices
- Volume
- 2026
- Issue
- 8
- Publication date
- 1 April 2026
- Language
- EN