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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 “Gendulphe”

Systole, inradius and rigidity of cusped hyperbolic 3-manifoldsmath.GT

Optimal inequalities for systole, inradius, and volume in hyperbolic 3-manifolds

problem Establishing optimal inequalities relating systole, inradius, and volume in hyperbolic 3-manifolds

method Using systole-volume inequalities for extremal manifolds

result Extremal manifolds for systole, inradius, and volume are identified

systole inradius volume hyperbolic 3-manifolds Gendulphe

2026-06-04abs ↗pdf ↗

Volumes of moduli spaces of bordered Klein surfacesmath.GT

Study volumes of Klein surfaces, extending Mirzakhani's recursion.

problem Volumes of moduli spaces of bordered Klein surfaces.

method Generalization of Mirzakhani's recursion, integration over regularised moduli space.

result Explicit formula for Klein bottle moduli space volumes, recursion for arbitrary topologies.

Klein surfaces moduli spaces non-orientable surfaces refined topological recursion geodesics

2025-11-26abs ↗pdf ↗

The limit set of non-orientable mapping class groupsmath.GT

Study on mapping class groups of non-orientable surfaces, proving some conjectures and refuting others.

problem Analogies between Fuchsian groups and mapping class groups of non-orientable surfaces.

method Analyzing limit sets, foliations, and geometric properties.

result Established parts of a conjecture about the limit set and provided evidence for and against the analogy.

mapping class groups non-orientable surfaces limit sets foliations convex cores

2021-09-30abs ↗pdf ↗