ON THE IWASAWA INVARIANTS OF A LINK IN THE 3-SPHERE

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概要

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• Based on the analogy between knots and primes, Hillman, Matei and Morishita defined the Iwasawa invariants for sequences of cyclic covers of links with an analog of Iwasawas 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 Greenbergs conjecture.

著者

• Kadokami Teruhisa

  Department Of Mathematics Osaka City University

• Mizusawa Yasushi

  Department Of Mathematics Faculty Of Science And Technology Tokyo University Of Science

• MIZUSAWA Yasushi

  Department of Mathematics Nagoya Institute of Technology

• KADOKAMI Teruhisa

  Department of Mathematics East China Normal University

関連論文

• Proper links, algebraically split links and Arf invariant
• On unramified pro-$p$ Galois groups over cyclotomic $\mathbb{Z}_p$-extensions - A survey (Proceedings of the Symposium on Algebraic Number theory and Related Topics)
• ON THE IWASAWA INVARIANTS OF A LINK IN THE 3-SPHERE

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