Abstract:Contact loci are sets of arcs on a variety with prescribed contact order along a fixed subvariety. They appear in motivic integration, where motivic zeta functions are generating series for classes of contact loci in appropriate Grothendieck groups. We give an overview of recent results relating the basic topology of contact loci of hypersurfaces with a Floer theory and with log minim...
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