Electronic Journal of Differential Equations, Vol. 2020 (2020), No. 101, pp. 1-21. Title: Multiple positive solutions to the fractional Kirchhoff problem with critical indefinite nonlinearities Authors: Jie Yang (Central South Univ., Changsha, Hunan, China) Haibo Chen (Central South Univ., Changsha, Hunan, China) Zhaosheng Feng (Univ. of Texas Rio Grande Valley, Edinburg, TX, USA) Abstract: This article concerns the existence and multiplicity of positive solutions to the fractional Kirchhoff equation with critical indefinite nonlinearities by applying the Nehari manifold approach and fibering maps. Submitted June 12, 2020. Published September 28, 2020. Math Subject Classifications: 35A15, 35B33, 35R11. Key Words: Fractional Kirchhoff equation; Nehari manifold; fibering maps.