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.
Characterizes decomposable torus fiber bundles in low dimensions.
Introduces cofrontal mappings and studies their properties.
M. Kontsevich constructed universal characteristic classes of smooth bundles with fiber a framed odd-dimensional integral homology sphere. In dimension 3, they are known to give a universal finite type invariants of homology 3-spheres. However, they have not been well understood for higher fiber dimensions. The purpose…
Geometrically classifies maps from R^0|2 to any manifold, unifying theories.
Derives criteria for Kähler structures on holomorphic submersions.
In this paper, we study the family index of a family of spin manifolds. In particular, we discuss to which extend the real index (of the Dirac operator of the real spinor bundle if the fiber dimension is divisible by 8) which can be defined in this case contains extra information over the complex index (the index of it…
The paper proves a stronger Petersen--Wilhelm conjecture for principal bundles.
This paper extends curvature results to higher fiber dimensions.