2 papers
math.CA2025
Nondegeneracy and integral count of frozen planet orbits in helium
Kai Cieliebak, Urs Frauenfelder, Evgeny Volkov
We study a family of action functionals whose critical points interpolate between frozen planet orbits for the helium atom with mean interaction between the electrons and the free…
math.AT2025
Eight flavours of cyclic homology
K. Cieliebak, E. Volkov
We introduce eight versions of cyclic homology of a mixed complex and study their properties. In particular, we determine their behaviour with respect to Chen iterated integrals.