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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 “pseudo-isotopic”

The Casson-Sullivan invariant for homeomorphisms of 4-manifoldsmath.GT

The study examines the realizability of a 4-manifold invariant for homeomorphisms.

problem Realizing the Casson-Sullivan invariant for homeomorphisms of 4-manifolds.

method Investigation of the invariant's realizability and application to surface isotopy.

result The invariant can be realized fully after stabilizing with a single

S^2 imes S^2

for all orientable pairs of homeomorphic 4-manifolds.

Casson-Sullivan invariant 4-manifolds homeomorphisms pseudo-isotopic cohomology

2024-05-13abs ↗pdf ↗

Pseudo-isotopies and diffeomorphisms of 4-manifoldsmath.GT

The study constructs examples of pseudo-isotopic but not isotopic 4-manifold diffeomorphisms.

problem Understanding pseudo-isotopy and its relation to isotopy for 4-manifolds.

method Construction of examples and analysis of pseudo-isotopy obstructions.

result Not all pseudo-isotopic diffeomorphisms are isotopic, providing new insights into 4-manifold topology.

4-manifolds pseudo-isotopy diffeomorphisms pseudo-isotopy obstructions connected sums

2021-11-30abs ↗pdf ↗

Pseudo-isotopy versus isotopy for homeomorphisms of 4-manifoldsmath.GT

New obstructions show some 4-manifold homeomorphisms are pseudo-isotopic but not isotopic.

problem Tackling the difference between pseudo-isotopy and isotopy for 4-manifolds.

method Defining and showing realizable obstructions in Whitehead groups.

result Found homeomorphisms that are pseudo-isotopic but not isotopic.

4-manifolds pseudo-isotopy isotopy Whitehead groups homeomorphisms

2025-06-13abs ↗pdf ↗

Smoothing topological pseudo-isotopies of 4-manifoldsmath.GT

Study on topological pseudo-isotopies of 4-manifolds, proving some cases and finding counterexamples.

problem Determining when a topologically pseudo-isotopic diffeomorphism is also smoothly pseudo-isotopic.

method Analyzing the fundamental group of 4-manifolds and constructing counterexamples.

result Some fundamental groups guarantee a positive answer, while others can have negative outcomes.

4-manifolds pseudo-isotopies fundamental group topology diffeomorphisms

2025-07-22abs ↗pdf ↗

Examples of non-trivial contact mapping classes in all dimensionsmath.SG

We give examples of contactomorphisms in every dimension that are smoothly isotopic to the identity but that are not contact isotopic to the identity. In fact, we prove the stronger statement that they are not even symplectically pseudo-isotopic to the identity. We also give examples of pairs of contactomorphisms which…

2015-04-13abs ↗pdf ↗

Grasper families of spheres in

S^2 \times D^2

and barbell diffeomorphisms of

S^1\times S^2 \times I

math.GT

The paper shows how certain circle families in $S^1 imes D^3$ relate to sphere families in $S^2 imes D^2$ and induces nontrivial barbell diffeomorphisms.

problem Understanding the relationship between circle and sphere families in specific 3-manifolds.

method Analyzing the fundamental groups and ambient extensions of circle and sphere families.

result Induces nontrivial barbell diffeomorphisms of

S^1 imes S^2 imes I

fundamental groups sphere families circle families ambient extensions barbell diffeomorphisms

2024-12-10abs ↗pdf ↗

Pseudo-isotopies of 3-manifolds with infinite fundamental groupsmath.GT

Infinite rank groups found in 3-manifolds with infinite fundamental groups.

problem Understanding the structure of diffeomorphism and homeomorphism groups of 3-manifolds with infinite fundamental groups.

method Analyzing actions of barbell diffeomorphisms on spaces of embedded arcs and configuration spaces.

result Groups of diffeomorphisms and homeomorphisms have infinite rank.

3-manifolds infinite fundamental group pseudo-isotopy barbell diffeomorphisms configuration spaces

2026-02-10abs ↗pdf ↗

Dax invariants, light bulbs, and isotopies of symplectic structuresmath.GT

The paper solves isotopy problems on 4-manifolds and classifies symplectic structures.

problem Isotopy problems on 4-manifolds and uniqueness of symplectic structures.

method Generalization of Dax invariant to embedded closed surfaces, symplectic topology techniques.

result Infinitely many non-isotopic symplectic forms on irrational ruled surfaces.

4-manifolds symplectic structures isotopy Dax invariant homotopy

2025-01-27abs ↗pdf ↗