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6 papers · 1 filter
The Research of Thomas P. Branson
Michael G. Eastwood, A. Rod Gover
The Midwest Geometry Conference 2007 was devoted to the substantial mathematical legacy of Thomas P. Branson who passed away unexpectedly the previous year. This contribution to th…
Symmetries and Invariant Differential Pairings
Michael G. Eastwood
The purpose of this article is to motivate the study of invariant, and especially conformally invariant, differential pairings. Since a general theory is lacking, this work merely…
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…
Constructions with bundle gerbes
Stuart Johnson
This thesis develops the theory of bundle gerbes and examines a number of useful constructions in this theory. These allow us to gain a greater insight into the structure of bundle…
Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces in K-theory
Y. Kordyukov, V. Mathai, M. Shubin
In this paper, we study a refined L2 version of the semiclassical approximation of projectively invariant elliptic operators with invariant Morse type potentials on covering spaces…
Gerbes, Clifford modules and the index theorem
Michael K. Murray, Michael A. Singer
The use of bundle gerbes and bundle gerbe modules is considered as a replacement for the usual theory of Clifford modules on manifolds that fail to be spin. It is shown that both s…