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.
Compactness theorems for -solitons established with scalar curvature and potential function constraints.
The paper proves smoothness of almost-minimizers' boundaries near the free boundary.
This paper explores parallels between minimal surfaces and Einstein manifolds.
We prove that C. Loewner's inequality for the torus is satisfied by all hyperelliptic surfaces X, as well. We first construct the Loewner loops on the (mildly singular) companion tori, locally isometric to X away from the Weierstrass points. The loops are then transplanted to X, and surgered to obtain a Loewner loop on…
Proves regularity for Brakke flow near stationary half-plane.
In 1996, Shi generalized the epsilon-regularity theorem of Schoen and Uhlenbeck to energy-minimizing harmonic maps from a domain equipped with a bounded measurable Riemannian metric. In the present work we prove a compactness result for such energy-minimizing maps. As an application, we combine our result with Shi's th…
Compactness theorem for manifolds with scalar curvature and entropy bounds.
Lectures on surface evolution through singularities.
The paper proves a regularity theorem for Brakke flows near triple junctions.
We prove some epsilon regularity results for n-dimensional minimal two-valued Lipschitz graphs. The main theorems imply uniqueness of tangent cones and regularity of the singular set in a neighbourhood of any point at which at least one tangent cone is equal to a pair of transversely intersecting multiplicity one n-dim…
Proves branch set dimension for stationary varifolds with ε-regularity.