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The q-deformed Knizhnik-Zamolodchikov-Bernard heat equation

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Giovanni Felder (ETH Zurich), Alexander Varchenko (UNC Chapel Hill)

Quantum Algebra · Submitted 24 Sep 1998

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We show that this equation for the dependence on the moduli of elliptic curves is compatible with the qKZB equations, which give the dependence on the marked points.

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arXiv IDmath/9809139 (version 2)
Pith IDIT6BA6M4, Pith's permanent record of this paper and its review
CitationAlexander Varchenko (UNC Chapel Hill), Giovanni Felder (ETH Zurich). "The q-deformed Knizhnik-Zamolodchikov-Bernard heat equation." arXiv:math/9809139 (1998). https://pith.science/paper/IT6BA6M4
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,284 input tokens.

What the abstract itself states, as probabilities: claims first 0.09 · states limitation 0.05 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.31 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We introduce a q-deformation of the genus one sl_2 Knizhnik-Zamolodchikov-Bernard heat equation. We show that this equation for the dependence on the moduli of elliptic curves is compatible with the qKZB equations, which give the dependence on the marked points.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We introduce a q-deformation of the genus one sl_2 Knizhnik-Zamolodchikov-Bernard heat equation. contribution 1.00 0.94 0.17 asserted 0.99
s1 We show that this equation for the dependence on the moduli of elliptic curves is compatible with the qKZB equations, which give the dependence on the marked points. result 0.98 0.93 0.56 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 0.93 · evidence from proof or derivation 1.00.

What was examined, and what was not

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not examined
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  • figures and tables
  • references and citing sentences
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  • P abstract
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We introduce a q-deformation of the genus one sl_2 Knizhnik-Zamolodchikov-Bernard heat equation. We show that this equation for the dependence on the moduli of elliptic curves is compatible with the qKZB equations, which give the dependence on the marked points.

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