Legendrian Hopf links in L(p,1)
Rima Chatterjee, Hansj\"org Geiges, Sinem Onaran
TL;DR
This paper classifies Legendrian realizations of the Hopf link in lens spaces L(p,1) with various contact structures, providing a comprehensive understanding of their coarse equivalence classes.
Contribution
It offers the first classification of Legendrian Hopf links in L(p,1) lens spaces for any contact structure, extending previous work in standard contact 3-space.
Findings
Complete classification of Legendrian Hopf links in L(p,1)
Identification of coarse equivalence classes
Applicability to all contact structures in L(p,1)
Abstract
We classify Legendrian realisations, up to coarse equivalence, of the Hopf link in the lens spaces L(p,1) with any contact structure.
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Taxonomy
TopicsGeometric and Algebraic Topology · Finite Group Theory Research · Advanced Graph Theory Research