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.
New invariants measure how far spanning surfaces are from being compressible.
In this paper, we define finite type invariants for cyclic equivalence classes of nanophrases and construct the universal ones. Also, we identify the universal finite type invariant of degree 1 essentially with the linking matrix. It is known that extended Arnold's basic invariants to signed words are finite type invar…
We consider the first non-zero eigenvalue of the Laplacian on hyperbolic surfaces for which one disconnecting collar degenerates and prove that essentially agrees with the dual of the differential of the degenerating Fenchel-Nielsen length coordinate. As a consequence, we can improve previous …
Essential surfaces in link diagrams on surfaces are crucial for understanding link properties.
A 3D area-minimizing current in R^5 has a 2-fold essential singularity.