18 citations · 36 across the 6 of their papers we have counts for
6 papers
Dirac operators on noncommutative manifolds with boundary
Alan L. Carey, Slawomir Klimek, Krzysztof P. Wojciechowski
We study an example of an index problem for a Dirac-like operator subject to Atiyah-Patodi-Singer boundary conditions on a noncommutative manifold with boundary, namely the quantum…
T-duality for non-free circle actions
Ulrich Bunke, Thomas Schick
We study the topology of T-duality for pairs of U(1)-bundles and three-dimensional integral cohomology classes over orbispaces. In particular, our results apply to U(1)-spaces with…
Adiabatic decomposition of the zeta-determinant and the Dirichlet to Neumann operator
Jinsung Park, Krzysztof P. Wojciechowski
We prove an adiabatic decomposition formula of the zeta-determinant of the Laplace type operator with respect to Dirichlet boundary condition. We allow the non-invertible tangentia…
Analytic Surgery of the zeta-determinant of the Dirac operator
Jinsung Park, Krzysztof P. Wojciechowski
We review the work of the authors and their collaborators on the decomposition of the zeta-determinant of the Dirac operator into the contribution coming from different parts of a…
Adiabatic decomposition of the zeta-determinant of the Dirac Laplacian I. The case of an invertible tangential operator. With an appendix by Yoonweon Lee
Jinsung Park, Krzysztof P. Wojciechowski
we discuss the decomposition of the zeta-determinant of the square of the Dirac operator into the contributions coming from the different parts of the manifold in the case of an in…
Adiabatic decomposition of the zeta-determinant and Scattering theory
Jinsung Park, Krzysztof P. Wojciechowski
We discuss the decomposition of the zeta-determinant of the square of the Dirac operator into contributions coming from the different parts of the manifold. The easy case was worke…