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Opers on transversely holomorphic foliations
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 ℂℙ1--bundle naturally associated with a transversely complex projective structures. A similar uniqueness theorem is proved for the transversely holomorphic filtered ℂℙr−1--bundle naturally associated to a transverse PGL(r,ℂ)--oper.
Related
- Superconnections, descent, and monodromy on transversely holomorphic foliations
- Transversely projectively flat foliations
- Stability of closed leaves holomorphic foliations via torsion behavior of groups of germs
- Bounded Leaf Volumes and Analytic Quotients of Singular Holomorphic Foliations
- Holomorphic realizations of pairs of foliations on Riemann surfaces
BibTeX
@misc{biswas2026opers,
title = {{Opers on transversely holomorphic foliations}},
author = {Indranil Biswas and Sorin Dumitrescu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.38040},
eprint = {2609.38040},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.38040},
}
RIS
TY - UNPB
TI - Opers on transversely holomorphic foliations
AU - Indranil Biswas
AU - Sorin Dumitrescu
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.38040
UR - https://arxiv.org/abs/2609.38040
AB - 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 ℂℙ^1--bundle naturally associated with a transversely complex projective structures. A similar uniqueness theorem is proved for the transversely holomorphic filtered ℂℙ^r−1--bundle naturally associated to a transverse PGL(r,ℂ)--oper.
ER -