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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.

168,657 papers · 148 categories

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3 results for “retriangulations”

On a construction of some homology

d

-manifoldsmath.CO

Characterizes homology d-manifolds with g2=3 for d≥3.

problem Classify homology d-manifolds with specific g2 values.

method Combinatorial characterization and operations like joins, retriangulations, and connected sums.

result Homology d-manifolds with g2=3 are spheres and can be derived from previous ones.

homology manifolds g-vector spheres join operations retriangulations

2022-06-02abs ↗pdf ↗

Quantum coadjoint action and the

6j

-symbols of

U_qsl_2

math.GT

We review the representation theory of the quantum group $U_εsl_2\mathbb{C}$ at a root of unity $ε$ of odd order, focusing on geometric aspects related to the 3-dimensional quantum hyperbolic field theories (QHFT). Our analysis relies on the quantum coadjoint action of De Concini-Kac-Procesi, and the theory of Heisenbe…

2011-01-18abs ↗pdf ↗

On Sparse Representations of 3-Manifoldscs.CG

The paper explores algorithms to transform 3-manifold triangulations while controlling sparsity.

problem Designing efficient algorithms for 3-manifold triangulations with controlled sparsity.

method Revisit and apply a linear-time algorithm for converting triangulations into Heegaard diagrams, and present a quasi-linear-time algorithm for retriangulation.

result Quasi-linear-time algorithm producing a Heegaard diagram with controlled sparsity.

3-manifolds triangulations sparse representations treewidth Heegaard diagrams

2025-12-05abs ↗pdf ↗