468 citations · 2.3k across the 46 of their papers we have counts for
Showing math.DGShow all
3 papers · 1 filter
math.DG2022★ 1 cited
Inverting covariant exterior derivative
Radosław Antoni Kycia, Josef Šilhan
The algorithm for inverting covariant exterior derivative is provided. It works for a sufficiently small star-shaped region of a fibered set - a local subset of a vector bundle and…
math.DG2020★ 3 cited
The Poincare lemma for codifferential, anticoexact forms, and applications to physics
Radosław Antoni Kycia
The linear homotopy theory for codifferential operator on Riemannian manifolds is developed in analogy to a similar idea for exterior derivative. The main object is the cohomotopy…
math.DG2019★ 2 cited
The Poincare lemma, antiexact forms, and fermionic quantum harmonic oscillator
Radosław Antoni Kycia
The paper focuses on various properties and applications of the homotopy operator, which occurs in the Poincaré lemma. In the first part, an abstract operator calculus is construct…