Research
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.

169,341 papers · 148 categories

Trend · papers per month

count% of corpus
0111 · May 201519922001200920182026
2 results for “superline”
Darboux transformations for differential operators on the superlinemath-ph

Darboux transformations for superline differential operators are fully described.

problem Understanding transformations for differential operators on the superline.
method Factorization of transformations into elementary ones of order one.
result Every Darboux transformation of superline differential operators factors into order one transformations.
Darboux transformationssuperlinedifferential operatorsfactorization
2015-05-19abs ↗pdf ↗
Differential operators on the superline, Berezinians, and Darboux transformationsmath.DG

New operators defined on supermanifolds, linked to Darboux transformations.

problem Defining and analyzing differential operators on supermanifolds.
method Defining non-degenerate operators, using super Wronskians and Berezinians, applying Darboux transformations.
result Every Darboux transformation corresponds to an invariant subspace and can be expressed by a super-Wronskian formula.
supermanifoldsdifferential operatorsDarboux transformationsBereziniansWronskians
2016-05-24abs ↗pdf ↗