Geometry & topology
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- The isoperimetric inequality and CMC hypersurfaces in Cartan-Hadamard manifolds
- Finite-Point Metrizable Coarsenings: Compatible Gauges, Simplicial Metrics, and Hausdorff Lower Bounds
- Finite-Time Singularities of the Kähler--Ricci Flow on Fano Bundles II
- A Llarull type theorem on complete non-compact manifolds
- Representation stability of string links and manifold links
- Regularity of varifolds with bounded anisotropic first variation
- The extensible no-four-on-a-circle problem
- Chebyshev and garment cutting. Debunking some myths
- Combinatorial Goussarov-Polyak-Viro Formulas for the Linking Number and Low Degree Coefficients of the Conway Polynomial
- The Bézout inequality for mixed volumes characterizes simplices
- Long-time existence and uniqueness of the heterotic G2 flow
- Special Lagrangian cones in Deep Learning
- Retro-synthetic Riemannian geometry in Rocq I : Taylor series of a metric
- Affine dual Minkowski problem for general measures
- Rectifiability of every finite order for stationary integral varifolds
- New families of moment-angle manifolds diffeomorphic to connected sums of products of spheres
- Total scalar curvature under a curvature operator lower bound
- Nonexistence of solutions to Δpu+Δqu+us|∇ u|t≤ 0 on geodesically complete noncompact Riemannian manifolds
- Algebraically independent distances and rigid metrics
- Deforming area-preserving maps between surfaces by mean curvature flow coupled with Ricci flow
- Microlocal perverse schobers and Radon transform
- A stable self-shrinking Möbius bundle in ℝ4
- Spectral Geometry of Hurwitz Spaces with Arbitrary Ramification
- Geometric Hybrid Dynamical Systems: Part I - Modeling and Stability
- The sharp σk-curvature inequality on locally conformally flat manifolds in quantitative form