12 citations · 20 across the 7 of their papers we have counts for
13 papers
Thom isomorphism and Push-forward map in twisted K-theory
Alan L. Carey, Bai-Ling Wang
We establish the Thom isomorphism in twisted K-theory for any real vector bundle and develop the push-forward map in twisted K-theory for any differentiable proper map …
On the relationship of gerbes to the odd families index theorem
Alan L. Carey, Bai-Ling Wang
The goal of this paper is to apply the universal gerbe of \cite{CMi1} and \cite{CMi2} to give an alternative, simple and more unified view of the relationship between index theory…
L^2 torsion without the determinant class condition and extended L^2 cohomology
M. Braverman, A. Carey, M. Farber +1
We associate determinant lines to objects of the extended abelian category built out of a von Neumann category with a trace. Using this we suggest constructions of the combinatoria…
The Hochschild Class of the Chern Character For Semifinite Spectral Triples
A. Carey, J. Phillips, A. Rennie +1
We provide a proof of Connes' formula for a representative of the Hochschild class of the Chern character for (p,\infty)-summable spectral triples. Our proof is valid for all semif…
Spectral flow in Fredholm modules, eta invariants and the JLO cocycle
Alan L. Carey, John Phillips
We give a comprehensive account of an analytic approach to spectral flow along paths of self-adjoint Breuer-Fredholm operators in a type or von Neumann alg…
Seiberg-Witten-Floer Homology and Gluing Formulae
Alan L. Carey, Bai-Ling Wang
This paper gives a detailed construction of Seiberg-Witten-Floer homology for a closed oriented 3-manifold with a non-torsion $\spinc$ structure. Gluing formulae for certain 4-dime…