TY  - GEN
A1  - Lenhard, Michael
T1  - All's well that ends well
BT  - arresting cell proliferation in leaves
T2  - Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe
N2  - The transition from cell proliferation to cell expansion is critical for determining leaf size. Andriankaja et al. (2012) demonstrate that in leaves of dicotyledonous plants, a basal proliferation zone is maintained for several days before abruptly disappearing, and that chloroplast differentiation is required to trigger the onset of cell expansion.
T3  - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 906 
KW  - arabidopsis-thaliana
KW  - genetic-control
KW  - growth
KW  - size
KW  - curvature
Y1  - 2020
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-438035
SN  - 1866-8372
IS  - 906
SP  - 9
EP  - 11
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  -