|
This article is cited in 10 scientific papers (total in 10 papers)
Homotopy classification of elliptic operators on stratified manifolds
V. E. Nazaikinskiia, A. Yu. Savinb, B. Yu. Sterninc a M. V. Lomonosov Moscow State University
b Independent University of Moscow
c Moscow Institute of Electronic Engineering
Abstract:
We give a homotopy classification of elliptic operators on
a stratified manifold. Namely, we establish an isomorphism between the
set of elliptic operators modulo stable homotopy and the $K$-homology
group of the manifold. By way of application, we obtain an explicit
formula for the obstruction of Atiyah–Bott type to the existence
of Fredholm problems in the case of stratified manifolds.
Received: 06.02.2006
Citation:
V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin, “Homotopy classification of elliptic operators on stratified manifolds”, Izv. RAN. Ser. Mat., 71:6 (2007), 91–118; Izv. Math., 71:6 (2007), 1167–1192
Linking options:
https://www.mathnet.ru/eng/im781https://doi.org/10.1070/IM2007v071n06ABEH002386 https://www.mathnet.ru/eng/im/v71/i6/p91
|
Statistics & downloads: |
Abstract page: | 619 | Russian version PDF: | 217 | English version PDF: | 24 | References: | 79 | First page: | 3 |
|