TY  - INPR
A1  - Schulze, Bert-Wolfgang
A1  - Savin, Anton
A1  - Sternin, Boris
T1  - Elliptic operators in subspaces and the eta invariant
N2  - The paper deals with the calculation of the fractional part of the η-invariant for elliptic self-adjoint operators in topological terms. The method used to obtain the corresponding formula is based on the index theorem for elliptic operators in subspaces obtained in [1], [2]. It also utilizes K-theory with coefficients Zsub(n). In particular, it is shown that the group K(T*M,Zsub(n)) is realized by elliptic operators (symbols) acting in appropriate subspaces.
T3  - Preprint - (1999) 14 
KW  - index of elliptic operators in subspaces
KW  - K-theory
KW  - eta-invariant
KW  - mod k index
KW  - Atiyah-Patodi-Singer theory
Y1  - 1999
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25496
ER  - 
TY  - INPR
A1  - Savin, Anton
A1  - Sternin, Boris
T1  - Eta-invariant and Pontrjagin duality in K-theory
N2  - The topological significance of the spectral Atiyah-Patodi-Singer η-invariant is investigated. We show that twice the fractional part of the invariant is computed by the linking pairing in K-theory with the orientation bundle of the manifold. The Pontrjagin duality implies the nondegeneracy of the linking form. An example of a nontrivial fractional part for an even-order operator is presented.
T3  - Preprint - (2000) 08 
KW  - eta-invariant
KW  - K-theory
KW  - Pontrjagin duality
KW  - linking coefficients
KW  - Atiyah-Patodi-Singer theory
KW  - modulo n index
Y1  - 2000
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25747
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  - 
TY  - INPR
A1  - Savin, Anton
A1  - Schulze, Bert-Wolfgang
A1  - Sternin, Boris
T1  - On the invariant index formulas for spectral boundary value problems
N2  - In the paper we study the possibility to represent the index formula for spectral boundary value problems as a sum of two terms, the first one being homotopy invariant of the principal symbol, while the second depends on the conormal symbol of the problem only. The answer is given in analytical, as well as in topological terms.
T3  - Preprint - (1998) 18 
KW  - spectral boundary value problems
KW  - Fredholm property
KW  - index of elliptic operator
KW  - Chern character
KW  - Atiyah-Patodi-Singer theory
Y1  - 1998
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25285
ER  -