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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.

168,695 papers · 148 categories

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3 results for “quasitopy”

Spaces of polynomials as Grassmanians for immersions and embeddingsmath.GT

Study of embeddings avoiding certain tangent patterns using polynomial spaces.

problem Classifying embeddings avoiding specific tangent patterns.

method Introduce equivalence relation (quasitopy) and use spaces of polynomials as Grassmannians.

result Quasitopy classes of Θ-constrained embeddings stabilize as degree increases.

embeddings tangent patterns polynomial spaces Grassmannians quasitopy

2022-01-08abs ↗pdf ↗

Spaces of polynomials with constrained divisors as Grassmanians for traversing flowsmath.GT

The study explores vector flows on manifolds, focusing on polynomial constraints and equivalence relations.

problem Understanding vector flows on compact manifolds with constraints on tangency patterns.

method Introduces equivalence relations (quasitopy) and computes spaces of polynomials with constrained divisors.

result Quasitopy classes stabilize as the degree of polynomials increases.

vector flows compact manifolds tangency patterns polynomial constraints quasitopy

2022-02-02abs ↗pdf ↗

On immersions and embeddings with trivial normal line bundlesmath.GT

Study immersions and embeddings of manifolds with trivial normal bundles.

problem Understanding smooth embeddings and immersions with trivial normal bundles.

method Introduce equivalence relations and prove natural maps between them.

result Injective and right inverse map between embeddings and immersions.

manifolds embeddings immersions trivial normal bundle bordism groups

2023-08-11abs ↗pdf ↗