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This article is cited in 2 scientific papers (total in 2 papers)
Geometry and topology
Transverse-Legendrian links
I. A. Dynnikovab a V.A. Steklov Mathematical Institute of Russian Academy of Science, 8, Gubkina str., Moscow, 119991, Russia
b St. Petersburg State University, 29, Line 14th (Vasilyevsky Island), Saint Petersburg, 199178, Russia
Abstract:
In recent joint works of the present author with M. Prasolov and V. Shastin a new
technique for distinguishing Legendrian knots has been developed. In this paper
the technique is extended further to provide a tool for distinguishing transverse knots.
It is shown that the equivalence problem for transverse knots with
trivial orientation-preserving symmetry group
is algorithmically solvable. In a future paper
the triviality condition for the orientation-preserving symmetry group will be dropped.
Keywords:
Legendrian link, transverse link, rectangular diagram.
Received November 26, 2019, published December 24, 2019
Citation:
I. A. Dynnikov, “Transverse-Legendrian links”, Sib. Èlektron. Mat. Izv., 16 (2019), 1960–1980
Linking options:
https://www.mathnet.ru/eng/semr1182 https://www.mathnet.ru/eng/semr/v16/p1960
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Abstract page: | 223 | Full-text PDF : | 111 | References: | 24 |
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