Analytic and Reidemeister torsions of digraphs and path complexes
Grigoryan A, Lin Y, Yau S-T (2024)
Pure and Applied Mathematics Quarterly 20(2): 703-755.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Grigoryan, AlexanderUniBi;
Lin, Yong;
Yau, Shing-Tung
Einrichtung
Abstract / Bemerkung
We define the notions of Reidemeister torsion and analytic torsion for directed graphs by means of the path homology theory introduced by the authors in [7, 8, 9, 11]. We prove the identity of the two notions of torsions as well as obtain formulas for torsions of Cartesian products and joins of digraphs.
Stichworte
Analytic torsion;
Reidemeister torsion;
digraphs;
path homology
Erscheinungsjahr
2024
Zeitschriftentitel
Pure and Applied Mathematics Quarterly
Band
20
Ausgabe
2
Seite(n)
703-755
ISSN
1558-8599
eISSN
1558-8602
Page URI
https://pub.uni-bielefeld.de/record/2988955
Zitieren
Grigoryan A, Lin Y, Yau S-T. Analytic and Reidemeister torsions of digraphs and path complexes. Pure and Applied Mathematics Quarterly . 2024;20(2):703-755.
Grigoryan, A., Lin, Y., & Yau, S. - T. (2024). Analytic and Reidemeister torsions of digraphs and path complexes. Pure and Applied Mathematics Quarterly , 20(2), 703-755. https://doi.org/10.4310/PAMQ.2024.v20.n2.a3
Grigoryan, Alexander, Lin, Yong, and Yau, Shing-Tung. 2024. “Analytic and Reidemeister torsions of digraphs and path complexes”. Pure and Applied Mathematics Quarterly 20 (2): 703-755.
Grigoryan, A., Lin, Y., and Yau, S. - T. (2024). Analytic and Reidemeister torsions of digraphs and path complexes. Pure and Applied Mathematics Quarterly 20, 703-755.
Grigoryan, A., Lin, Y., & Yau, S.-T., 2024. Analytic and Reidemeister torsions of digraphs and path complexes. Pure and Applied Mathematics Quarterly , 20(2), p 703-755.
A. Grigoryan, Y. Lin, and S.-T. Yau, “Analytic and Reidemeister torsions of digraphs and path complexes”, Pure and Applied Mathematics Quarterly , vol. 20, 2024, pp. 703-755.
Grigoryan, A., Lin, Y., Yau, S.-T.: Analytic and Reidemeister torsions of digraphs and path complexes. Pure and Applied Mathematics Quarterly . 20, 703-755 (2024).
Grigoryan, Alexander, Lin, Yong, and Yau, Shing-Tung. “Analytic and Reidemeister torsions of digraphs and path complexes”. Pure and Applied Mathematics Quarterly 20.2 (2024): 703-755.
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