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 compares thimbles to Morse theory on Lie theory models.
The study shows how certain ODEs and integrals are regular under Borel summation.
We study partial collapsing degeneration of Hamiltonian-perturbed Floer trajectories for an adiabatic -family and its reversal adiabatic gluing, as the prototype of the partial collapsing degeneration of -dimensional (perturbed) -holomorphic maps to -dimensional gradient segments. We consider the …
A new formula approximates knot volume using Jones polynomial evaluations.
Starting from the free field realization of Kac-Moody Lie algebra, we define a generalized Yang-Yang function. Then for the Lie algebra of type , we derive braiding and fusion matrix by braiding the thimble from the generalized Yang-Yang function. One can construct a knots invariant from the braiding and …
Bryant-Salamon constructed three 1-parameter families of complete manifolds with holonomy which are asymptotically conical to a holonomy cone. For each of these families, including their asymptotic cone, we construct a fibration by asymptotically conical and conically singular coassociativ…
Generalized complex (GC) geometry interpolates between ordinary symplectic and complex geometry. Stable generalized complex manifolds (first introduced by Cavalcanti, Gualtieri in 2015) carry a Poisson structure which is generically symplectic, but degenerates on a (real) codimension-2 submanifold. Up to gauge equivale…