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arXiv research

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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2 results for “Auckly-Kim-Melvin-Ruberman-Schwartz”

On non-orientable surfaces in 4-manifoldsmath.GT

Study extends surface embedding theorems to non-orientable cases.

problem Embedding non-orientable surfaces in 4-manifolds.

method Conditions for embedding non-orientable surfaces as sums of surfaces and projective planes.

result Extends Gabai and Auckly-Kim-Melvin-Ruberman-Schwartz theorems to non-orientable surfaces.

4-manifolds non-orientable surfaces embedding Gabai theorem Auckly-Kim-Melvin-Ruberman-Schwartz

2018-08-26abs ↗pdf ↗

One stabilization is not enough for closed knotted surfacesmath.GT

New findings show stabilization isn't enough for certain knotted surfaces.

problem The necessity of stabilization for exotic knotted surfaces.

method Examined smooth 4-manifolds with nonempty boundaries containing exotically knotted 2-spheres.

result The 'one is enough' theorem does not apply to closed surfaces with characteristic homology classes.

knotted surfaces stabilization 4-manifolds exotic

2023-04-04abs ↗pdf ↗