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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.

168,742 papers · 148 categories

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0111 · Mar 202119922001200920172026
2 results for “triplply-periodic”
Gluing Karcher-Scherk saddle towers I: Triply periodic minimal surfacesmath.DG

Researchers create new triply periodic minimal surfaces by gluing saddle towers.

problem Creating triply periodic minimal surfaces without symmetry constraints.
method Gluing Karcher-Scherk saddle towers with phase differences and balancing under vertical interaction.
result Expands known triply periodic minimal surfaces into new 5-parameter families.
minimal surfacessaddle towerstriplply periodicphase differencesvertical interaction
2021-03-29abs ↗pdf ↗
The chiral gyrating H'-T surface family: construction from the dual qtz--qzd nets and existence proof using a toroidal Weierstrass methodmath.DG

Paper constructs and proves existence of chiral triply-periodic minimal surfaces.

problem Existence of chiral triply-periodic minimal surfaces of genus 4.
method Construction based on dual qtz--qzd nets, existence proof using Weierstrass method on branched torus.
result Family of chiral triply-periodic minimal surfaces of genus 4 constructed and proved to exist.
minimal surfaceschiralitytriplply-periodicgenus 4Weierstrass method
2025-12-20abs ↗pdf ↗