6 citations · 9 across the 4 of their papers we have counts for
10 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…
Variants of equivariant Seiberg-Witten Floer homology
Matilde Marcolli, Bai-Ling Wang
For a rational homology 3-sphere with a $\spinc$ structure $\s$, we show that simple algebraic manipulations of our construction of equivariant Seiberg-Witten Floer homology le…
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…
Exact triangles in monopole homology and the Casson-Walker invariant
Matilde Marcolli, Bai-Ling Wang
We establish the exact triangle in Seiberg-Witten-Floer theory relating the monopoloe homologies of any two closed 3-manifolds which are obtained from each other by -surgery…
Exact triangles in Seiberg-Witten Floer theory. Part IV: Z-graded monopole homology
Matilde Marcolli, Bai-Ling Wang
Some aspects of the construction of SW Floer homology for manifolds with non-trivial rational homology are analyzed. In particular, the case of manifolds that are obtained as zero-…