256 citations · 944 across the 58 of their papers we have counts for
Showing 1999Show all
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hep-th1999★ 9 cited
A gerbe obstruction to quantization of fermions on odd dimensional manifolds with boundary
Alan Carey, Jouko Mickelsson
We consider the canonical quantization of fermions on an odd dimensional manifold with boundary, with respect to a family of elliptic hermitean boundary conditions for the Dirac ha…
math.OA1999
On unbounded p-summable Fredholm modules
Alan L Carey, John Phillips, Fyodor Sukochev
We prove that odd unbounded p-summable Fredholm modules are also bounded p-summable Fredholm modules (this is the odd counterpart of a result of A. Connes for the case of even Fred…
math.DG1999
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)