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Showing 2004 · math.DGShow all
3 papers · 2 filters
math.DG2004
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…
math.DG2004★ 12 cited
L^2 torsion without the determinant class condition and extended L^2 cohomology
M. Braverman, A. Carey, M. Farber +1
We associate determinant lines to objects of the extended abelian category built out of a von Neumann category with a trace. Using this we suggest constructions of the combinatoria…
math.DG2004
The affine Plateau problem
Neil S. Trudinger, Xu-Jia Wang
In this paper, we study a second order variational problem for locally convex hypersurfaces, which is the affine invariant analogue of the classical Plateau problem for minimal sur…