The Frohman-Kania-Bartoszynska invariant is the 3D index

Series
Geometry Topology Seminar
Time
Wednesday, February 12, 2020 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
S. Garoufalidis – SUSTECH and MPI Bonn – stavros@mpim-bonn.mpg.de
Organizer
Thang Le
We prove that a power series invariant of suitable ideal triangulations, defined by Frohman-Kania-Bartoszynska coincides with the power series invariant of Dimofte-Gaiotto-Gukov known as the 3D index. In partucular, we deduce that the FKB invariant is topological, and that the tetrahedron weight of the 3D index is a limit of quantum 6j symbols. Joint work with Roland van der Veen.