12 citations · 20 across the 7 of their papers we have counts for
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math.GT2002★ 1 cited
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…
math.OA2002★ 1 cited
Spectral flow and Dixmier traces
Alan L Carey, John Phillips, Fyodor Sukochev
We obtain general theorems which enable the calculation of the Dixmier trace in terms of the asymptotics of the zeta function and of the heat operator in a general semi-finite von…
hep-th2002
Holonomy on D-Branes
Alan L. Carey, Stuart Johnson, Michael K. Murray
This paper shows how to construct anomaly free world sheet actions in string theory with -branes. Our method is to use Deligne cohomology and bundle gerbe theory to define geome…