Linear Legendrian curves in $T^3$
Paolo Ghiggini
Abstract
Paolo Ghiggini
Abstract
Using convex surfaces and Kanda's classification theorem, we classify Legendrian isotopy classes of Legendrian linear curves in all tight contact structures on . Some of the knot types considered in this paper provide new examples of non transversally simple knot types.
OpenAlex reports 17 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Using convex surfaces and Kanda's classification theorem, we classify Legendrian isotopy classes of Legendrian linear curves in all tight contact structures on . Some of the knot types considered in this paper provide new examples of non transversally simple knot types.
Key concepts: Isotopy, Knot (papermaking), Mathematics, Regular polygon, Pure mathematics, Mathematical analysis, Geometry, Materials science