Representation variety of free or surface groups and Reidemeister torsion
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Dosyalar
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Scientific and Technological Research Council Turkey
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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.
Açıklama
Anahtar Kelimeler
Reidemeister Torsion; Representation Varieties; Atiyah-Bott-Goldman Symplectic Form; Symplectic Chain Complex; Hyperbolic 3-Manifolds, Fundamental-Groups; Analytic Torsion; R-Torsion; Moduli
Kaynak
Turkish Journal of Mathematics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
46
Sayı
4
