학술논문

Counting Tripods on the Torus
Document Type
Working Paper
Source
Arnold Math. J. 9 (2023) 359-379
Subject
Mathematics - Geometric Topology
Mathematics - Combinatorics
Mathematics - Number Theory
51M05, 11N45
Language
Abstract
Motivated by the problem of counting finite BPS webs, we count certain immersed metric graphs, tripods, on the flat torus. Classical Euclidean geometry turns this into a lattice point counting problem in $\mathbb C^2$, and we give an asymptotic counting result using lattice point counting techniques.