TY  - INPR
A1  - Nazaikinskii, Vladimir
A1  - Schulze, Bert-Wolfgang
A1  - Sternin, Boris
T1  - Surgery and the relative index theorem for families of elliptic operators
N2  - We prove a theorem describing the behaviour of the relative index of families of Fredholm operators under surgery performed on spaces where the operators act. In connection with additional conditions (like symmetry conditions) this theorem results in index formulas for given operator families. By way of an example, we give an application to index theory of families of boundary value problems.
T3  - Preprint - (2002) 11 
KW  - elliptic operators
KW  - index theory
KW  - surgery
KW  - relative index
KW  - boundary value problems
Y1  - 2008
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/2425
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-26300
ER  -