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.
Researchers found non-smoothable surfaces in a 4-sphere, solving K3 problems.
New examples of non-smoothable homeomorphisms of 4-manifolds with boundary found.
The paper constructs non-smoothable actions on spin 4-manifolds.
We show a rigidity theorem for the Seiberg-Witten invariants mod 2 for families of spin 4-manifolds. A mechanism of this rigidity theorem also gives a family version of 10/8-type inequality. As an application, we prove the existence of non-smoothable topological families of 4-manifolds whose fiber, base space, and tota…
We extend Donaldson's diagonalization theorem to intersection forms with certain local coefficients, under some constraints. This provides new examples of non-smoothable topological 4-manifolds.
The ambient framed bordism class of the connecting manifold of two consecutive critical points of a Morse-Smale function is estimated by means of a certain Hopf invariant. Applications include new examples of non-smoothable Poincare duality spaces as well as an extension of the Morse complex.
The hyperbolization process affects the structure of manifolds.
In [HT], two of us constructed a closed oriented 4-dimensional manifold with fundamental group that does not split off . In this note we show that this 4-manifold, and various others derived from it, do not admit smooth structures. Moreover, we find an infinite family of 4-manifolds with exactly the…
Stein fillability of circle bundles over symplectic manifolds is restricted.
Under certain homological hypotheses on a compact 4-manifold, we prove exactness of the topological surgery sequence at the stably smoothable normal invariants. The main examples are the class of finite connected sums of 4-manifolds with certain product geometries. Most of these compact manifolds have non-vanishing sec…
The paper develops a new theory for knots and 3-manifolds with involutions.
New examples of knotting phenomena in 4-manifolds with specific fundamental groups.
Develops Floer cohomology for 4-manifolds with involutions and links.
New examples of Calabi-Yau metrics on cones with irregular smooth links.
Study on diffeotopy groups of non-compact 4-manifolds, extending previous results.
We show how the families Seiberg-Witten invariants of a family of smooth -manifolds can be recovered from the families Bauer-Furuta invariant via a cohomological formula. We use this formula to deduce several properties of the families Seiberg-Witten invariants. We give a formula for the Steenrod squares of the fami…
New invariants from Seiberg-Witten theory for 3-spheres with involution.