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.
Study curves in non-orientable surfaces with specific intersection properties.
Let denote the closed orientable surface of genus . We construct exponentially many mapping class group orbits of collections of simple closed curves on which pairwise intersect exactly once, extending a result of the first author and further answering a question of Malestein-Rivin-Theran. To dist…
The regularity of systolically extremal surfaces is a notoriously difficult problem already discussed by M. Gromov in 1983, who proposed an argument toward the existence of -extremizers exploiting the theory of -regularity developed by P. A. White and others by the 1950s. We propose to study the problem of syst…