Topological photonics aims to utilize topological photonic bands and corresponding edge modes to implement robust light manipulation, which can be readily achieved in the linear regime of light-matter interaction. Importantly, unlike solid state physics, the common test bed for new ideas in topological physics, topological photonics provide an ideal platform to study wave mixing and other nonlinear interactions. These are well-known topics in classical nonlinear optics but largely unexplored in the context of topological photonics. Here, we investigate nonlinear interactions of one-way edge-modes in frequency mixing processes in topological photonic crystals. We present a detailed analysis of the band topology of two-dimensional photonic crystals with hexagonal symmetry and demonstrate that nonlinear optical processes, such as second-and third-harmonic generation can be conveniently implemented via one-way edge modes of this setup. Moreover, we demonstrate that more exotic phenomena, such as slow-light enhancement of nonlinear interactions and harmonic generation upon interaction of backwardpropagating (left-handed) edge modes can also be realized. Our work opens up new avenues towards topologyprotected frequency mixing processes in photonics.One of the most important developments in condensed matter physics in the past decades is the discovery of topological insulating materials [1,2]. These materials feature gapped bulk but gapless edge modes, which propagate unidirectionally along the system edge and are immune to local disorder, thus opening a promising avenue towards robust wave manipulation protected by topology. Inspired by this development, the emerging field of topological photonics aims to extend these topology related ideas to the realm of photonics [3][4][5][6], which holds great promises for innovative optical devices by exploiting robust, scattering-free light propagation and manipulation. As the concept of energy band exists at the single particle level both in condensed matter physics and photonics, the goal of realizing photonic topological insulators can be readily achieved in the linear regime of light matter interaction. Indeed, topological phenomena of electromagnetic waves in a linear medium can be understood by mapping Maxwell equations to the Schrödinger equation [7,8].Photonics, however, has several features not present in solid-state physics. For example, optical gain and loss can be utilized to implement non-Hermitian photonics based on parity-time symmetry [9]. The recently realized topological insulator laser demonstrates the power of this new ingredient and could deepen our understanding of the interplay between non-hermiticity and topology in active optical systems k ω ω 0 Ω 2 = 2ω 0 Ω 3 = 3ω 0 y x z a b FIG. 1. Nonlinear one-way edge mode interaction in 2D topological photonic crystals. a, Schematic band structure showing the emergent edge modes due to the nontrivial topology of the bulk frequency bands. The edge modes can couple via SHG and THG frequency mixing processes. b, Real ...