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The Atiyah-Singer fixed point theorem and the gauge field copy problem

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Adonai S. Sant'Anna

Mathematical Physics · Submitted 27 May 1999

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

The authors' main claim A condition for the existence of false gauge field copies in terms of the Lefschetz number of a certain differential operator is presented.

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arXiv IDmath-ph/9905023 (version 1)
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CitationAdonai S. Sant'Anna. "The Atiyah-Singer fixed point theorem and the gauge field copy problem." arXiv:math-ph/9905023 (1999). https://pith.science/paper/QSWHGKOK
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 1,589 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.09 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

A condition for the existence of false gauge field copies in terms of the Lefschetz number of a certain differential operator is presented.

background contribution method result interpretation main claim

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 A condition for the existence of false gauge field copies in terms of the Lefschetz number of a certain differential operator is presented. result 0.65 0.78 0.77 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

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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

A condition for the existence of false gauge field copies in terms of the Lefschetz number of a certain differential operator is presented.

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