The Arnol'd chord conjecture for $S{T}^{\ast }{T}^3$

Kainan Guo, Zhengyi Zhou

We prove the Arnol'd chord conjecture for $S{T}^{\ast }{T}^3,S{T}^{\ast }(S^1\times S^2),S{T}^{\ast }{S}^3$ as well as arbitrary connected sums among them.