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Einstein’s field equation of General Relativity can be cast into the form of evolution equations with well posed Cauchy problem. The object that undergoes evolution is then a Riemannian 3-manifold the instantaneous dynamical configuration of which is either described by a Teichmüller (Riemannian...
We give an overview on the series of articles (Fiebig and Lanini, Filtered moment graph sheaves,
, 2015, Fiebig and Lanini, Periodic structures on affine moment graphs I: dualities and translation functors,
, 2015, Fiebig and Lanini, Periodic structures on...
In this survey, we present recent results of the authors about non-meromorphic modular objects known as polar harmonic Maass forms. These include the computation of Fourier coefficients of meromorphic modular forms and relations between inner products of meromorphic modular forms and higher...
In this note we study some analytic properties of the linearized self-duality equations on a family of smooth Riemann surfaces
to a surface
with a finite number of nodes. It is shown that the...
The split property expresses a strong form of independence of spacelike separated regions in algebraic quantum field theory. In Minkowski spacetime, it can be proved under hypotheses of nuclearity. An expository account is given of nuclearity and the split property, and connections are drawn to...
Invariants for Lagrangians of symplectic vector spaces, such as the Maslov index for paths and the Maslov triple index, have many applications in symplectic geometry and index theory. Here we study the properties of their generalizations for modules over
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