Address:
A. Navarro, Institut für Mathematik, Universität Zürich, Switzerland
Corresponding author: J. Navarro, Department of Mathematics and IMUEX, Universidad de Extremadura, Spain, ORCID: 0000-0001-5257-176X
C. Tajero Prieto, Department of Mathematics and IUFFyM, Universidad de Salamanca, Spain
E-mail: navarrogarmendia@unex.es
Abstract: We prove that the only natural differential operations between holomorphic forms on a complex manifold are those obtained using linear combinations, the exterior product and the exterior differential. In order to accomplish this task we first develop the basics of the theory of natural holomorphic bundles over a fixed manifold, making explicit its Galoisian structure by proving a categorical equivalence à la Galois.
AMSclassification: primary 58A32; secondary 32L05.
Keywords: natural bundles, natural operations.
DOI: 10.5817/AM2018-4-239