429 citations · 1.5k across the 138 of their papers we have counts for
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Twisted higher index theory on good orbifolds, II: fractional quantum numbers
Matilde Marcolli, Varghese Mathai
This paper is the continuation of Part I, expanding previous results of math.DG/9803051. This paper uses techniques in noncommutative geometry as developed by Alain Connes in order…
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)