On-device research index

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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7 results for “homsets”

A Quick Note On Homsets and Diagramsmath.GT

Clarifies how knot homset invariants relate to diagram colorings.

problem Confusion in representing homset elements with similar diagrams.

method Examines and clarifies the relationship between knot homset invariants and diagram colorings, particularly in symmetric cases.

result Identifies conditions under which homset elements can be represented by similar diagrams.

knot homset diagram coloring symmetry invariant algebraic knot coloring

2025-04-19abs ↗pdf ↗

Entropic Niebrzydowski Tribracketsmath.GT

Introduces entropic tribrackets and their applications in link distinguishing.

problem Distinguishing links with the same counting invariant.

method Definition and study of entropic tribrackets and their homsets.

result Homsets of entropic tribrackets form new entropic tribrackets.

tribrackets link distinguishing homsets counting invariant

2023-08-21abs ↗pdf ↗

MC-Biquandles and MC-Biquandle Coloring Quiversmath.GT

New algebraic structures help categorify link invariants.

problem Classifying and distinguishing links and virtual links.

method Introducing mc-biquandles and categorifying homsets.

result New link invariants defined via mc-biquandle coloring quivers.

mc-biquandles link invariants virtual links categorification

2023-11-01abs ↗pdf ↗

Biquandle Arrow Weight Enhacementsmath.GT

New knot invariants from biquandle arrow weights.

problem Creating nontrivial knot invariants.

method Introducing biquandle arrow weights for knot diagrams.

result Enhancements are nontrivial and not determined by homset cardinality.

biquandle knot invariants arrow weights nontriviality

2022-11-22abs ↗pdf ↗

Biquandle Brackets and Quiversmath.GT

Explains biquandle brackets and quivers for a topology talk.

problem None explicitly stated; focuses on background information.

method Review of biquandle concepts and related structures.

result Clarifies understanding of biquandle bracket quivers.

biquandle bracket quiver topology

2023-08-23abs ↗pdf ↗

Birack Bracket Quivers and Framed Linksmath.GT

New invariants defined for framed knots and links.

problem Defining invariants for framed knots and links.

method Introducing birack brackets and categorifying their multiset.

result Quiver-valued invariant defined for framed knots and links.

framed links birack brackets knot invariants virtual knots

2025-11-17abs ↗pdf ↗

Bikei Module Invariants of Unoriented Surface-Linksmath.GT

Enhanced bikei modules distinguish unoriented and non-orientable surface-links.

problem Distinguishing unoriented and non-orientable surface-links.

method Extending biquandle module invariants to unoriented surface-links using bikei modules.

result Enhanced bikei modules are more effective at distinguishing non-orientable surface-links than bikei homset cardinality alone.

surface-links biquandle modules unoriented non-orientable distinguish

2022-04-05abs ↗pdf ↗