Contact surgery numbers

Series
Geometry Topology Seminar
Time
Monday, July 22, 2024 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Rima Chatterjee – University of Cologne
Organizer
John Etnyre

A fundamental result in 3-dimensional contact topology due to Ding-Geiges tells us that any contact 3-manifold can be obtained via doing a surgery on a Legendrian link in the standard contact 3-sphere. So it's natural to ask how simple or complicated a surgery diagram could be for a given contact manifold? Contact surgery number is a measure of  this complexity. In this talk, I will discuss this notion of complexity along with some examples. This is joint work with Marc Kegel.