Linking numbers of modular knots
type: Item
instance of: scholarly article
title: Linking numbers of modular knots
zbMATH Open document ID: 1206.57011
published in: Communications in Mathematical Analysis
publication date: 2010-05-12T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.cma/1271890673
review text: A modular surface corresponds to the diagonal flow on the space \(SL_2(\mathbb{R})/SL_2(\mathbb{Z})\). The last space is homeomorphic to the 3-sphere \(S^3\) with the trefoil knot \(\tau\) removed. In this note the author examines some asymptotic questions on linking numbers of closed geodesics of this flow and the knot \(\tau\).
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 11F03
zbMATH DE Number: 5707215
zbMATH Keywords: modular knots
zbMATH Keywords: linking number
author: Peter Sarnak
reviewed by: Oleg Karpenkov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5707215