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.
The paper calculates a specific invariant for a manifold with a circle action.
Derives an index formula for families of end-periodic Dirac operators.
We show that the periodic -invariants introduced by Mrowka--Ruberman--Saveliev~\cite{MRS3} provide obstructions to the existence of cobordisms with positive scalar curvature metrics between manifolds of dimensions and . The proof combines a relative version of the Schoen--Yau minimal surface technique with an…
By studying the Seiberg-Witten equations on end-periodic manifolds, we give an obstruction on the existence of positive scalar curvature metric on compact -manifolds with the same homology as . This obstruction is given in terms of the relation between the Frøyshov invariant of the generator of $H…
We obtain two types of results on positive scalar curvature metrics for compact spin manifolds that are even dimensional. The first type of result are obstructions to the existence of positive scalar curvature metrics on such manifolds, expressed in terms of end-periodic eta invariants that were defined by Mrowka-Ruber…