Skein Valued Counts of Open Curves in Calabi-Yau Threefolds

Explore a lecture on counting open holomorphic curves in Calabi-Yau threefolds using skein-valued techniques. Delve into the concept of using the HOMFLYPT skein module of the Lagrangian to count curves with Maslov zero Lagrangian boundary conditions, which eliminates wall-crossing and results in deformation invariant counts. Examine the crucial role of curves at infinity in non-compact cases and learn how these curves determine all other curves through recursion relations. Gain insights from speaker Tobias Ekholm as he presents several basic cases demonstrating this mathematical approach during this one-hour and three-minute talk from the BIMSA conference.

Tobias Ekholm: Skein valued counts of open curves #ICBS2024