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Simple Type and the Boundary of Moduli Space
David Groisser, Lorenzo Sadun
We measure, in two distinct ways, the extent to which the boundary region of moduli space contributes to the ``simple type'' condition of Donaldson theory. Using a geometric repres…
Simple Type is Not a Boundary Phenomenon
Lorenzo Sadun
This is an expository article, explaining recent work by D. Groisser and myself [GS] on the extent to which the boundary region of moduli space contributes to the ``simple type'' c…
Parallel Connections Over Symmetric Spaces
Luis Guijarro, Lorenzo Sadun, Gerard Walschap
Let M be a simply connected Riemannian symmetric space, with at most one flat direction. We show that every Riemannian (or unitary) vector bundle with parallel curvature over M is…
Remarks on the Geometry of Wick Rotation in QFT and its Localization on Manifolds
Chien-Hao Liu, U. Miami-Physics
The geometric aspect of Wick rotation in quantum field theory and its localization on manifolds are explored. After the explanation of the notion and its related geometric objects,…