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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.

169,341 papers · 148 categories

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8 results for self-covers

The paper proves conditions for self-covering manifolds to be fiber bundles over a circle.

problem Conditions for self-covering manifolds to be fiber bundles over a circle.
method Developed a criterion for finite generation of modules over a commutative Noetherian ring and proved conditions for fiber bundles.
result Proved that certain self-covering manifolds with free abelian fundamental group are fiber bundles over a circle.

Closed self-covering manifolds with abelian fundamental groups fiber over tori.

problem Understanding the structure of self-covering manifolds with abelian fundamental groups.
method Proving the existence of fiberings over tori under mild assumptions.
result Closed self-covering manifolds with abelian fundamental groups fiber over tori in various senses.

Extends Thurston's combinatorial characterization to all branched coverings of the 2-sphere.

problem Characterizing branched coverings of the 2-sphere.
method Generalizing Thurston's local balancing to all branched coverings.
result Provides a new proof for a theorem concerning real rational functions.