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6 papers · 1 filter
Large-determinant sign matrices of order 4k+1
William P. Orrick, Bruce Solomon
The Hadamard maximal determinant problem asks for the largest n-by-n determinant with entries in {+1,-1}. When n is congruent to 1 (mod 4), the maximal excess construction of Farma…
Failure of Gauge Invariance in the Nonperturbative Formulation of Massless Lorentz-Violating QED
B. Altschul
We consider a Lorentz-violating modification to the fermionic Lagrangian of QED that is known to produce a finite Chern-Simons term at leading order. We compute the second order co…
Necessary and sufficient conditions for inclusion relations for absolute summability
B E Rhoades, Ekrem Savas
We obtain a set of necessary and sufficient conditions for to imply for . Using this result we establish se…
Tests of Lorentz and CPT Invariance in Space
Matthew Mewes
I give a brief overview of recent work concerning possible signals of Lorentz violation in sensitive clock-based experiments in space. The systems under consideration include atomi…
The Hausmann-Weinberger 4-manifold invariant of abelian groups
Paul Kirk, Charles Livingston
The Hausmann-Weinberger invariant of a group G is the minimal Euler characteristic of a closed orientable 4-manifold M with fundamental group G. We compute this invariant for finit…
Weak approximation for linear systems of quadrics
Bo-Hae Im, Michael Larsen
We give local conditions at the infinite places of a number field K ensuring that the intersection of n quadrics in projective N-space over K, N >> n, satisfies weak approximation.