58 citations · 137 across the 11 of their papers we have counts for
6 papers · 1 filter
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.
Twisted index theory on good orbifolds, I: noncommutative Bloch theory
Matilde Marcolli, Varghese Mathai
This paper, together with Part II, expands the results of math.DG/9803051. In Part I we study the twisted index theory of elliptic operators on orbifold covering spaces of compact…
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)
Twisted higher index theory on good orbifolds and fractional quantum numbers
Matilde Marcolli, Varghese Mathai
The twisted Connes-Moscovici higher index theorem is generalized to the case of good orbifolds. The higher index is shown to be a rational number, and in fact non-integer in specif…