Branched covers and contact 3 manifolds

Geometry Topology Student Seminar
Wednesday, December 4, 2019 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 006
Agniva Roy – Georgia Tech
Agniva Roy

Branched covers are a generalization of covering spaces, and give rise to interesting questions in smooth as well as contact topology. All 3 manifolds arise as branched coverings of the 3-sphere. The talk will involve a discussion of the proof of this fact due to Montesinos, and will explore the work done towards understanding which contact 3 manifolds arise as the branched cover of the standard tight 3 sphere, and how the branch set can be regulated.