Prime Decomposition of 3-Manifolds

Series
Geometry Topology Student Seminar
Time
Wednesday, November 20, 2019 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Thomas Rodewald – Georgia Tech
Organizer
Agniva Roy

I will discuss the prime decomposition of three-manifolds. First I will define the connect sum operation, irreducible and prime 3-manifolds. Then using the connect sum operation as "multiplication," I will show any closed oriented three-manifold decomposes uniquely into prime factors using spheres. If time permits, I will show another way of decomposing using discs.