Characterization of codimension one foliations on complex curves by connections

Abstract

A way to characterize the space of leaves of a foliation in terms of connections is proposed. A particular example of vertex algebra cohomology of codimension one foliations on complex curves is considered.

arXiv commentarXiv admin note: text overlap with arXiv:2012.05904; text overlap with arXiv:1006.2516, arXiv:math/0012069 by other authors

References in corpus (6)

• Chiral de Rham complex
• Losik classes for codimension-one foliations
• Non-diffeomorphic Reeb foliations and modified Godbillon-Vey class
• The simplest cohomological invariants for vertex algebras
• Orbit spaces and leaf spaces of foliations as generalized manifolds
• Comparison of approaches to characteristic classes of foliations