6 citations · 9 across the 4 of their papers we have counts for
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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…
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-…
Exact triangles in Seiberg-Witten Floer theory. Part III: proof of exactness
Matilde Marcolli, Bai-Ling Wang
This is the third part of the work on the exact triangles. We construct chain homomorphisms and show exactness of the resulting sequence.
Exact triangles in Seiberg-Witten Floer theory. Part II: geometric limits of flow lines
Matilde Marcolli, Bai-Ling Wang
This is the second part of the proof of the exact traiangles in Seiberg-Witten Floer theory. We analyse the splitting and gluing of flow lines of the Chern-Simons-Dirac functional…
The geometric triangle for 3-dimensional Seiberg-Witten monopoles
Alan Carey, Matilde Marcolli, Bai-Ling Wang
We establish a surgery formula for 3-dimensional Seiberg-Witten monopoles under (+1) Dehn surgery on a knot in a homology 3-sphere. (substantial revision)
Seiberg-Witten-Floer homology of a surface times a circle for non-torsion spin-c structures
Vicente Muñoz, Bai-Ling Wang
We determine the Seiberg-Witten-Floer homology groups of the three-manifold which is the product of a surface of genus times the circle, together with its ring structure…