Exploring Topologically Trivial Legendrian Knots: Insights and Applications

This paper delves into the fascinating world of Legendrian knots and their topology. We focus on topologically trivial Legendrian knots, examining their properties and behaviors in contact geometry. By investigating various examples and constructing new classes of these knots, we shed light on their invariants and relationships with other knot types. Our findings have implications for both theoretical research and practical applications in areas such as knot theory and contact topology.

• legendrian knots
• topological triviality
• contact geometry
• knot theory
• invariants
• mathematical research
• topology
• geometric analysistext

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