TY - JOUR
T1 - Fox formulas for twisted Alexander invariants associated to representations of knot groups over rings of S-integers
AU - Tange, Ryoto
N1 - Funding Information:
The author would like to thank Masanori Morishita for suggesting him an interesting problem, Jun Ueki for helpful discussions and suggesting references, and Daniel S. Silver for helpful communications. The author is partially supported by Grant-in-Aid for JSPS Fellow 16J03575.
Publisher Copyright:
© 2018 World Scientific Publishing Company.
PY - 2018/4/1
Y1 - 2018/4/1
N2 - We present a generalization of the Fox formula for twisted Alexander invariants associated to representations of knot groups over rings of S-integers of F, where S is a finite set of finite primes of a number field F. As an application, we give the asymptotic growth of twisted homology groups.
AB - We present a generalization of the Fox formula for twisted Alexander invariants associated to representations of knot groups over rings of S-integers of F, where S is a finite set of finite primes of a number field F. As an application, we give the asymptotic growth of twisted homology groups.
KW - Knot
KW - Mahler measure
KW - arithmetic topology
KW - twisted Alexander invariant
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U2 - 10.1142/S0218216518500335
DO - 10.1142/S0218216518500335
M3 - Article
AN - SCOPUS:85044786474
VL - 27
JO - Journal of Knot Theory and its Ramifications
JF - Journal of Knot Theory and its Ramifications
SN - 0218-2165
IS - 5
M1 - 1850033
ER -