2012/04/22 by Teruhisa Kadokami, Yasushi Mizusawa, Kadokami, Teruhisa +1
Mathematics · #11R23 #57M25 #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.1204.4892
openalex publication_date 2012/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Based on the analogy between knots and primes, J. Hillman, D. Matei and M. Morishita defined the Iwasawa invariants for sequences of cyclic covers of links with an analogue of Iwasawa's class number formula of number fields. In this paper, we consider the existence of covers of links with prescribed Iwasawa invariants, discussing analogies in number theory. We also propose and consider a problem analogous to Greenberg's conjecture.