Description: This is an introductory course to contact topology. We will give a first glance at topics in contact topology and its relationship with peripheral subjects such as knot theory and symplectic topology. The course will be suitable for advanced undergraduate students and PhD students.Reference:Geiges, An Introduction to Contact TopologyKashiwara and Schapira, Sheaves on Manifold
AbstractLegendrian links play a central role in low dimensional contact topology. A rigid theory uses invariants constructed via algebraic tools to distinguish Legendrian links. The most influential and powerful invariant is the Chekanov-Eliashberg differential graded algebra, which set apart the first non-classical Legendrian pair and stimulated many subsequent developments. The functor of poi...