English

Canonical torsor bundles of prescribed rational functions on complex curves

Functional Analysis 2022-06-30 v4

Abstract

Prescribed rational functions constitute a subset of rational functions satisfying certain symmetry and analyticity conditions. We define and construct explicitly prescribed rational functions-valued bundle WM\mathcal{W}_M over a smooth complex curve MM. An intrinsic coordinate-independent formulation for such bundle is is given. The construction presented in this paper is useful for studies of the canonical cosimplicial cohomology of infinite-dimensional Lie algebras on smooth manifolds, as well as for purposed of conformal field theory, deformation theory, and the theory of foliations.

Keywords

Cite

@article{arxiv.2106.06542,
  title  = {Canonical torsor bundles of prescribed rational functions on complex curves},
  author = {A. Zuevsky},
  journal= {arXiv preprint arXiv:2106.06542},
  year   = {2022}
}