8 papers
Periodic diffraction patterns for 1D quasicrystals
Pawel Buczek, Lorenzo Sadun, Janusz Wolny
A simple model of 1D structure based on a Fibonacci sequence with variable atomic spacings is proposed. The model allows for observation of the continuous transition between period…
Adiabatic charge pumping in open quantum systems
J. E. Avron, A. Elgart, G. M. Graf +2
We introduce a mathematical setup for charge transport in quantum pump connected to a number of external leads. It is proved that under rather general assumption on the Hamiltonian…
Oort's conjecture for A_g
Sean Keel, Lorenzo Sadun
We prove the conjecture of Oort that a compact subvariety of the moduli space of principally polarized Abelian varieties of genus g has codimension strictly greater than g, for g >…
Generic Jumps of Fredholm Indices and the Quantum Hall Effect
Joseph E. Avron, Lorenzo Sadun
We describe the generic behavior of Fredholm indices in the space of Toeplitz operators. We relate this behavior to certain conjectures and open problems that arise in the context…
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…