Real analytic lift of foliations of Thurston and Tsuboi

Teruaki Kitano, Yoshihiko Mitsumatsu, Shigeyuki Morita

Thurston constructed codimension one foliations on $S^3$ thereby proved that the homomorphism $gv:{\pi }_3(B{\overline{\Gamma }}_1^{\infty })\to \mathbb{R}$ induced by the Godbillon-Vey inv…