TY  - GEN
A1  - Wallenta, Daniel
T1  - A Lefschetz fixed point formula for elliptic quasicomplexes
T2  - Postprints der Universität Potsdam : Mathematisch Naturwissenschaftliche Reihe
N2  - In a recent paper, the Lefschetz number for endomorphisms (modulo trace class operators) of sequences of trace class curvature was introduced. We show that this is a well defined, canonical extension of the classical Lefschetz number and establish the homotopy invariance of this number. Moreover, we apply the results to show that the Lefschetz fixed point formula holds for geometric quasiendomorphisms of elliptic quasicomplexes.
T3  - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 885 
KW  - elliptic complexes
KW  - Fredholm complexes
KW  - Lefschetz number
Y1  - 2020
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-435471
SN  - 1866-8372
IS  - 885
SP  - 577
EP  - 587
ER  - 
TY  - JOUR
A1  - Wallenta, Daniel
T1  - A Lefschetz fixed point formula for elliptic quasicomplexes
JF  - Integral equations and operator theor
N2  - In a recent paper, the Lefschetz number for endomorphisms (modulo trace class operators) of sequences of trace class curvature was introduced. We show that this is a well defined, canonical extension of the classical Lefschetz number and establish the homotopy invariance of this number. Moreover, we apply the results to show that the Lefschetz fixed point formula holds for geometric quasiendomorphisms of elliptic quasicomplexes.
KW  - Elliptic complexes
KW  - Fredholm complexes
KW  - Lefschetz number
Y1  - 2014
U6  - https://doi.org/10.1007/s00020-014-2122-4
SN  - 0378-620X
SN  - 1420-8989
VL  - 78
IS  - 4
SP  - 577
EP  - 587
PB  - Springer
CY  - Basel
ER  - 
TY  - INPR
A1  - Wallenta, Daniel
T1  - A Lefschetz fixed point formula for elliptic quasicomplexes
N2  - In a recent paper with N. Tarkhanov, the Lefschetz number for endomorphisms (modulo trace class operators) of sequences of trace class curvature was introduced. We show that this is a well defined, canonical extension of the classical Lefschetz number and establish the homotopy invariance of this number. Moreover, we apply the results to show that the Lefschetz fixed point formula holds for geometric quasiendomorphisms of elliptic quasicomplexes.
T3  - Preprints des Instituts für Mathematik der Universität Potsdam - 2(2013)12 
KW  - Perturbed complexes
KW  - curvature
KW  - Lefschetz number
KW  - fixed point formula
Y1  - 2013
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-67016
ER  - 
TY  - INPR
A1  - Tarkhanov, Nikolai Nikolaevich
A1  - Wallenta, Daniel
T1  - The Lefschetz number of sequences of trace class curvature
N2  - For a sequence of Hilbert spaces and continuous linear operators the curvature is defined to be the composition of any two consecutive operators. This is modeled on the de Rham resolution of a connection on a module over an algebra. Of particular interest are those sequences for which the curvature is "small" at each step, e.g., belongs to a fixed operator ideal. In this context we elaborate the theory of Fredholm sequences and show how to introduce the Lefschetz number.
T3  - Preprints des Instituts für Mathematik der Universität Potsdam - 1 (2012) 3 
KW  - Perturbed complexes
KW  - curvature
KW  - Lefschetz number
Y1  - 2012
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-56969
ER  -