TY  - INPR
A1  - Nazaikinskii, Vladimir E.
A1  - Sternin, Boris
T1  - Surgery and the relative index in elliptic theory
N2  - We prove a general theorem on the local property of the relative index for a wide class of Fredholm operators, including relative index theorems for elliptic operators due to Gromov-Lawson, Anghel, Teleman, Booß-Bavnbek-Wojciechowski, et al. as special cases. In conjunction with additional conditions (like symmetry conditions) this theorem permits one to compute the analytical index of a given operator. In particular, we obtain new index formulas for elliptic pseudodifferential operators and quantized canonical transformations on manifolds with conical singularities as well as for elliptic boundary value problems with a symmetry condition for the conormal symbol.
T3  - Preprint - (1999) 17 
KW  - elliptic operators
KW  - index theory
KW  - surgery
KW  - relative index
KW  - manifold with singularities
KW  - boundary value problems
Y1  - 1999
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25538
ER  - 
TY  - INPR
A1  - Savin, Anton
A1  - Sternin, Boris
T1  - Elliptic operators in odd subspaces
N2  - An elliptic theory is constructed for operators acting in subspaces defined via even pseudodifferential projections. Index formulas are obtained for operators on compact manifolds without boundary and for general boundary value problems. A connection with Gilkey's theory of η-invariants is established.
T3  - Preprint - (1999) 11 
KW  - index of elliptic operators in subspaces
KW  - K-theory
KW  - eta invariant
KW  - Atiyah-Patodi-Singer theory
KW  - boundary value problems
Y1  - 1999
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25478
ER  - 
TY  - INPR
A1  - Savin, Anton
A1  - Sternin, Boris
T1  - Elliptic operators in even subspaces
N2  - An elliptic theory is constructed for operators acting in subspaces defined via even pseudodifferential projections. Index formulas are obtained for operators on compact manifolds without boundary and for general boundary value problems. A connection with Gilkey's theory of η-invariants is established.
T3  - Preprint - (1999) 10 
KW  - index of elliptic operators in subspaces
KW  - K-theory
KW  - eta invariant
KW  - Atiyah-Patodi-Singer theory
KW  - boundary value problems
Y1  - 1999
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25461
ER  -