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Polynomial Invariants for Arbitrary Rank D Weakly-Colored Stranded Graphs
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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Polynomial Invariants for Arbitrary Rank D Weakly-Colored Stranded Graphs
Інший ID:
2010 Mathematics Subject Classification: 05C10; 57M15
DOI:10.3842/SIGMA.2016.030
DOI:10.3842/SIGMA.2016.030
Посилання:
Polynomial Invariants for Arbitrary Rank D Weakly-Colored Stranded Graphs / R.C. Avohou // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 18 назв. — англ.
Підтримка:
Numerous discussions with Joseph Ben Geloun and Mahouton N. Hounkonnou have been hugely
beneficial for this work and gratefully acknowledged. The author acknowledges the support of
Max-Planck Institute for Gravitational Physics, Albert Einstein Institute, and the Association
pour la Promotion Scientifique de l’Afrique. The ICMPA is also in partnership with the Daniel
Iagolnitzer Foundation (DIF), France.
Дата:
2016
Переглядів:
541
Завантажень:
210
Анотація:
Polynomials on stranded graphs are higher dimensional generalization of Tutte and Bollobás-Riordan polynomials [Math. Ann. 323 (2002), 81-96]. Here, we deepen the analysis of the polynomial invariant defined on rank 3 weakly-colored stranded graphs introduced in arXiv:1301.1987. We successfully find in dimension D≥3 a modified Euler characteristic with D−2 parameters. Using this modified invariant, we extend the rank 3 weakly-colored graph polynomial, and its main properties, on rank 4 and then on arbitrary rank D weakly-colored stranded graphs.
