A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Shows semi-calibrated 2-currents are related to smooth structures with applications.
Let $(M, \om)$ be a symplectic manifold, endowed with a compatible almost complex structure J and the associated metric g . For any p \in {1, 2, ... (dim M)/2} the form $\Om := \frac{\om^p}{p!}$ is a calibration. More generally, dropping the closedness assumption on $\om$, we get an almost hermitian manifold $(M, \om, …
In this paper the dynamics of the classical chiral currents is studied. We describe how the dynamics of the theory can be summarized in an equation of the Lax form, thereby demonstrating the existence of an infinite set of conserved quantities. Next, the matrix of a fundamental Poisson relation is obtaine…
Study calibrated geometry in hyperkähler cones and their related spaces.
New examples show flat singular sets can be arbitrarily complex.
The paper studies minimal submanifolds from the abelian Higgs model, proving convergence of energy measures and currents.
Modern geometric measure theory, developed largely to solve the Plateau problem, has generated a great deal of technical machinery which is unfortunately regarded as inaccessible by outsiders. Some of its tools (e.g., flat norm distance and decomposition in generalized surface space) hold interest from a theoretical pe…
Single auto-encoder learns cross-domain image translation.