Atıf İçin Kopyala
Hezenci F., SÖZEN Y.
TURKISH JOURNAL OF MATHEMATICS, cilt.46, ss.1408-1423, 2022 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
46
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Basım Tarihi:
2022
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Doi Numarası:
10.3906/mat-2110-25
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Dergi Adı:
TURKISH JOURNAL OF MATHEMATICS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
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Sayfa Sayıları:
ss.1408-1423
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Anahtar Kelimeler:
Reidemeister torsion, representation varieties, Atiyah-Bott-Goldman symplectic form, symplectic chain complex, hyperbolic 3-manifolds, FUNDAMENTAL-GROUPS, ANALYTIC TORSION, R-TORSION, MODULI
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Hacettepe Üniversitesi Adresli:
Evet
Özet
For G is an element of {GL(n, C), SL(n, C)} , we consider G-valued representations of free or surface group with genus > 1. We establish a formula for computing Reidemeister torsion of such representations in terms of Atiyah-Bott-Goldman symplectic form for G. Furthermore, we apply the obtained results to hyperbolic 3-manifolds.