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.
The paper discusses results on Teichmüller modular groups' cohomology.
Simply connected spaces of tight frames identified.
Our main result asserts that for any given numbers C and D the class of simply connected closed smooth manifolds of dimension m<7 which admit a Riemannian metric with sectional curvature bounded in absolute value by C and diameter uniformly bounded from above by D contains only finitely many diffeomorphism types. Thus …
3D analog of Whitney's planarity criterion for 2-complexes.
Paper discusses conditions for global injectivity of semi-algebraic local diffeomorphisms.
The paper proves conditions for Kähler and Riemannian manifolds to be simply connected.
We study complete noncompact long time solutions to the Kähler-Ricci flow with uniformly bounded nonnegative holomorphic bisectional curvature. We will show that when the Ricci curvature is positive and uniformly pinched, i.e. $ R_\ijb \ge cRg_\ijb$ at for all for some , then there always e…
Develops complex spinorial forms for all dimensions and signatures, proving Brinkmann waves in supergravity.
Steenrod homotopy theory is a framework for doing algebraic topology on general spaces in terms of algebraic topology of polyhedra; from another viewpoint, it studies the topology of the lim^1 functor (for inverse sequences of groups). This paper is primarily concerned with the case of compacta, in which Steenrod homot…