Year: 2026
Type: preprint
Abstract: For real codimension two smooth foliations, we study the transversely complex structures, transversely complex projective structures and transverse opers associated to the foliation. We prove a uniqueness theorem for the transversely holomorphic ${\mathbb C}{\mathbb P}^1$--bundle naturally associated with a transversely complex projective structures. A similar uniqueness theorem is proved for the transversely holomorphic filtered ${\mathbb C}{\mathbb P}^{r-1}$--bundle naturally associated to a transverse ${\rm PGL}(r,{\mathbb C})$--oper.
Source: arXiv (Cornell University)
Authors: Biswas, Indranil, Dumitrescu, Sorin
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214975625