14 research outputs found
The Whitehead group of the Novikov ring
The Bass-Heller-Swan-Farrell-Hsiang-Siebenmann decomposition of the Whitehead
group of a twisted Laurent polynomial extension
of a ring is generalized to a decomposition of the
Whitehead group of a twisted Novikov ring of power series
. The decomposition involves a summand
which is an abelian quotient of the multiplicative group
of Witt vectors . An example
is constructed to show that in general the natural surjection is not an isomorphism.Comment: Latex file using Diagrams.tex, 36 pages. To appear in "K-theory
The type numbers of closed geodesics
A short survey on the type numbers of closed geodesics, on applications of
the Morse theory to proving the existence of closed geodesics and on the recent
progress in applying variational methods to the periodic problem for Finsler
and magnetic geodesicsComment: 29 pages, an appendix to the Russian translation of "The calculus of
variations in the large" by M. Mors