2 citations · 3 across the 8 of their papers we have counts for
8 papers
A Remark on Chern-Weil Theory
P. I. Katsylo
We show that Chern-Weil theory for tensor bundles over manifolds is a consequence of the existence of natural closed differential forms on total spaces of torsion free connections…
Natural differential operations on manifolds: an algebraic approach
Pavel I. Katsylo, Dmitri A. Timashev
We consider natural algebraic differential operations acting on geometric quantities over smooth manifolds. We introduce a method of study and classification of such operations, ca…
On Curvatures of Sections of Tensor Bundles
P. I. Katsylo
We consider natural differential operations acting on sections of tensor vector bundles. Arrising problems can be reformulated as invariant theoretical problems (the IT-reduction).…
Regularity of the Moduli Space of Instanton Bundles
Pavel I. Katsylo, Giorgio Ottaviani
We prove that the moduli space of mathematical instanton bundles on with is smooth.
On the Variety of Rational Curves of Degree in
Pavel Katsylo
We construct the canonical structure of an irreducible projective variety on the set of connected curves of degree in with rational components (some components can b…
On degree of polynomial mappings of to
Pavel Katsylo
We prove two results about degree of polynomial mappings of to .