Deformation Theory for the Hyperplane Line Bundle on $P^{1}$

Bland, John; Duchamp, Thomas

doi:10.2969/aspm/02510041

VOL. 25 | 1997 Deformation Theory for the Hyperplane Line Bundle on $P^{1}$

John Bland, Thomas Duchamp

Editor(s) Takao Akahori, Gen Komatsu, Kimio Miyajima, Makoto Namba, Keizo Yamaguchi

Adv. Stud. Pure Math., 1997: 41-59 (1997) DOI: 10.2969/aspm/02510041

Abstract

We develop a correspondence between deformations of the standard CR structure on $S^3$ and deformations of formal neighbourhoods of the hyperplane bundle over ${\mathbb{P}}^1$; this correspondence leads to a geometric description of obstructions to the embeddability of CR structures.