13 citations · 77 across the 16 of their papers we have counts for
3 papers · 1 filter
Riemann-Roch and index formulae in twisted K-theory
Alan L. Carey, Bai-Ling Wang
In this paper, we establish the Riemann-Roch theorem in twisted K-theory extending our earlier results. As an application, we prove a twisted index formula and show that D-brane ch…
Modular Index Invariants of Mumford Curves
Alan Carey, Matilde Marcolli, Adam Rennie
We continue an investigation initiated by Consani-Marcolli of the relation between the algebraic geometry of p-adic Mumford curves and the noncommutative geometry of graph C*-algeb…
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…