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.
New findings show exotic non-leaves in 4-manifolds with infinitely many ends.
We investigate the coarse homology of leaves in foliations of compact manifolds. This is motivated by the observation that the non-leaves constructed by Schweitzer and by Zeghib all have non-finitely generated coarse homology. This led us to ask whether the coarse homology of leaves in a compact manifold always has to …
We study the possibility of realizing exotic smooth structures on punctured simply connected -manifolds as leaves of a codimension one foliation on a compact manifold. In particular, we show the existence of uncountably many smooth open -manifolds which are not diffeomorphic to any leaf of a codimension one trans…
The paper explores symplectic foliations and their leaves on manifolds.