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.
Expressing L-polynomials coefficients in terms of multiple zeta values.
New polynomials show all knots of a certain type have simple structure.
Inspired by the paper on quantum knots and knot mosaics [23] and grid diagrams (or arc presentations), used extensively in the computations of Heegaard-Floer knot homology [2,3,7,24], we construct the more concise representation of knot mosaics and grid diagrams via mirror-curves. Tame knot theory is equivalent to knot…
The Hirzebruch signature formula provides an obstruction to the following realization question: given a rational Poincaré duality algebra , does there exist a smooth manifold such that ? This problem is especially interesting for rational truncated polynomial algebras who…