133 citations · 795 across the 60 of their papers we have counts for
7 papers · 1 filter
Some Generalizations of the Pinwheel Tiling
Lorenzo Sadun
We introduce a new family of nonperiodic tilings, based on a substitution rule that generalizes the pinwheel tiling of Conway and Radin. In each tiling the tiles are similar to a s…
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,…
Geodesic incompleteness in the CP^1 model on a compact Riemann surface
L. A. Sadun, J. M. Speight
It is proved that the moduli space of static solutions of the CP^1 model on spacetime Sigma x R, where Sigma is any compact Riemann surface, is geodesically incomplete with respect…