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arXiv · 2106.06542

Canonical torsor bundles of prescribed rational functions on complex curves

A. Zuevsky
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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 $\mathcal{W}_M$ over a smooth complex curve $M$. 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.

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A. Zuevsky. 2021-06-11. Canonical torsor bundles of prescribed rational functions on complex curves. https://arxiv.org/abs/2106.06542

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