TWISTED ALEXANDER POLYNOMIAL AND MATRIX-WEIGHTED ZETA FUNCTION

DOI10.2206/kyushujm.74.211zbMath1453.57009OpenAlexW3043164174MaRDI QIDQ5119862

Hiroshi Goda

Publication date: 1 September 2020

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2206/kyushujm.74.211

zbMATH Keywords

knottwisted Alexander polynomialAlexander polynomialIhara zeta functionmatrix-weighted zeta function

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Zeta functions and (L)-functions (11S40) Knot polynomials (57K14)

Cites Work

• Twisted Alexander polynomial for finitely presentable groups
• Twisted Alexander polynomial and Reidemeister torsion
• On discrete subgroups of the two by two projective linear group over \(p\)-adic fields
• A matrix-weighted zeta function of a graph
• Representations of knot groups and twisted Alexander polynomials
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