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.
Simplified proof of Lefschetz theorem for PL spheres.
Formula derived for Gromov-Witten invariants of smooth curves.
It has been 35 years since Stanley proved that f-vectors of boundaries of simplicial polytopes satisfy McMullen's conjectured g-conditions. Since then one of the outstanding questions in the realm of face enumeration is whether or not Stanley's proof could be extended to larger classes of spheres. Here we hope to give …
We prove a number of new restrictions on the enumerative properties of homology manifolds and semi-Eulerian complexes and posets. These include a determination of the affine span of the fine -vector of balanced semi-Eulerian complexes and the toric -vector of semi-Eulerian posets. The lower bounds on simplicial h…
The paper proves a Lefschetz theorem for toric varieties without positivity.