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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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3 results for “Levine-Lidman”

A short exposition of the Levine-Lidman example of spineless 4-manifoldsmath.GT

A 2018 paper proves a unique 4-manifold with a boundary homotopy equivalent to a sphere but no simplicial embedding.

problem Existence of a specific type of embedding in a 4-manifold.

method Proof of existence of a 4-manifold with boundary homotopy equivalent to a sphere but no simplicial embedding.

result A compact smooth 4-manifold with boundary homotopy equivalent to a sphere but no simplicial embedding.

4-manifolds homotopy equivalence embedding simplicial Levine-Lidman

2019-11-17abs ↗pdf ↗

Exotic definite four-manifolds with non-trivial fundamental groupmath.GT

New exotic structures found on 4-manifolds with specific groups.

problem Finding exotic smooth structures on 4-manifolds with certain fundamental groups.

method Constructing new smooth structures using definite intersection forms and fundamental groups.

result Infinitely many exotic smooth structures on 4-manifolds with fundamental group Z/2Z.

4-manifolds exotic structures fundamental group definite intersection form

2023-08-16abs ↗pdf ↗

Whitney tower concordance and knots in homology spheresmath.GT

Study shows knots in homology spheres can be topologically equivalent to those in $S^3$ .

problem Distinguishing knots in homology spheres from those in

S^3

method Whitney tower filtration of concordance and solvable filtration.

result Every knot (or link) in a homology sphere is equivalent to a knot (or link) in

S^3

modulo any term in the Whitney tower filtration.

Whitney tower concordance homology spheres knots homology cobordisms

2023-03-25abs ↗pdf ↗