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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.

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8 results for “Smale-Barden”

Quasi-regular Sasakian and K-contact structures on Smale-Barden manifoldsmath.DG

New constructions of Sasakian and K-contact structures on Smale-Barden manifolds.

problem Deciding when a Smale-Barden manifold admits a Sasakian or K-contact structure.

method Developing quasi-regular Seifert fibrations and applying them to constructions.

result Determined all Smale-Barden manifolds admitting null Sasakian structures and provided counterexamples to conjectures.

Sasakian structures K-contact structures Smale-Barden manifolds Seifert fibrations null Sasakian

2020-04-27abs ↗pdf ↗

On the construction of K-contact non-Sasakian Smale-Barden manifoldsmath.DG

Clarifies construction of K-contact non-Sasakian Smale-Barden manifolds.

problem Determining which Smale-Barden manifolds admit K-contact but not Sasakian structures.

method Explicitly determines the number of symplectic surfaces needed for isotropy loci, refines constructions of symplectic surfaces.

result Determines the number N of symplectic surfaces needed for K-contact but non-Sasakian manifolds.

K-contact non-Sasakian Smale-Barden manifolds isotropy

2026-06-04abs ↗pdf ↗

A Smale-Barden manifold admitting K-contact but not Sasakian structuremath.DG

First example of a 5D manifold with K-contact but no Sasakian structure.

problem Long-standing question of Boyer and Galicki about existence of Sasakian structures.

method Construction of a specific 5-manifold.

result First example of a simply connected compact 5-manifold with K-contact but no Sasakian structure.

K-contact Sasakian 5-manifold Smale-Barden Boyer-Galicki

2020-11-11abs ↗pdf ↗

On the classification of Smale-Barden manifolds with Sasakian structuresmath.DG

This work classifies Smale-Barden manifolds with Sasakian structures.

problem Deciding when Smale-Barden manifolds admit Sasakian structures.

method Classifying manifolds by their homology and Barden invariant, and providing methods to realize specific cases.

result Realized all manifolds with specified homology and Barden invariant, contributing to the existence of Sasakian structures on rational homology spheres.

Smale-Barden manifolds Sasakian structures homology rational homology spheres Barden invariant

2020-02-02abs ↗pdf ↗

Gompf connected sum for orbifolds and K-contact Smale-Barden manifoldsmath.DG

Developed Gompf connected sum for orbifolds, constructing symplectic and K-contact manifolds.

problem Constructing symplectic and K-contact manifolds with specific properties.

method Developed Gompf fiber connected sum operation for symplectic orbifolds and used it to construct the required manifolds.

result Constructed a K-contact Smale-Barden manifold with specified 2-homology and sharper estimates.

Gompf connected sum symplectic orbifolds K-contact manifolds Smale-Barden manifolds 2-homology

2020-03-16abs ↗pdf ↗

Constructions of symplectic surfaces in symplectic 4-manifolds with transversal intersectionsmath.SG

This paper constructs symplectic surfaces in 4-manifolds with transversal intersections.

problem Constructing symplectic surfaces in symplectic 4-manifolds with transversal intersections.

method Revision and generalization of existing constructions.

result Produces the ramification locus of Seifert bundles over symplectic 4-orbifolds.

symplectic surfaces 4-manifolds transversal intersections Seifert bundles K-contact 5-manifolds

2025-03-16abs ↗pdf ↗

Homology Smale-Barden manifolds with K-contact and Sasakian structuresmath.SG

Kollár has found subtle obstructions to the existence of Sasakian structures on 5-dimensional manifolds. In the present article we develop methods of using these obstructions to distinguish K-contact manifolds from Sasakian ones. In particular, we find the first example of a closed 5-manifold M with $H_1(M,Z)=0$ which …

2016-01-22abs ↗pdf ↗

Negative Sasakian structures on simply-connected 5-manifoldsmath.DG

Study on negative Sasakian structures on specific 5-manifolds.

problem Existence of negative Sasakian structures on simply-connected 5-manifolds.

method Analysis of rational homology spheres and Smale-Barden manifolds.

result Proves existence of negative Sasakian structures on specific 5-manifolds.

Sasakian structures 5-manifolds rational homology spheres negative quasi-regular

2020-07-16abs ↗pdf ↗