On the distribution of Alexander polynomials in certain families of closed braids

On the distribution of Alexander polynomials in certain families of closed braids

We study the distribution of arithmetic invariants associated to Alexander polynomials for certain infinite families of links. The families of links we consider arise from braids on a fixed number of strings. We explore analogies with number theory and the distribution of class groups in various fam...

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Veröffentlicht in:European journal of mathematics 2023-09, Vol.9 (3), Article 65
1. Verfasser: Ray, Anwesh
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Arithmetic
Braiding
Mathematics
Mathematics and Statistics
Number theory
Polynomials
Research Article
Topology
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description We study the distribution of arithmetic invariants associated to Alexander polynomials for certain infinite families of links. The families of links we consider arise from braids on a fixed number of strings. We explore analogies with number theory and the distribution of class groups in various families of number fields, setting out new directions in arithmetic topology and arithmetic statistics.
doi_str_mv 10.1007/s40879-023-00658-5
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subjects Algebraic Geometry
Arithmetic
Braiding
Mathematics
Mathematics and Statistics
Number theory
Polynomials
Research Article
Topology
title On the distribution of Alexander polynomials in certain families of closed braids
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