63 citations · 324 across the 37 of their papers we have counts for
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math.KT2014★ 1 cited
Tate tame symbol and the joint torsion of commuting operators
Jens Kaad, Ryszard Nest
We investigate determinants of Koszul complexes of holomorphic functions of a commuting tuple of bounded operators acting on a Hilbert space. Our main result shows that the analyti…
math.KT2014
Canonical holomorphic sections of determinant line bundles
Jens Kaad, Ryszard Nest
We investigate the analytic properties of torsion isomorphisms (determinants) of mapping cone triangles of Fredholm complexes. Our main tool is a generalization to Fredholm complex…
math.KT2014
Topological invariance of the homological index
Alan Carey, Jens Kaad
R. W. Carey and J. Pincus in [CaPi86] proposed and index theory for non-Fredholm bounded operators T on a separable Hilbert space H such that TT* - T*T is in the trace class. We sh…