3-Manifold Seminar: A perfect Morse function on the SU(2) representation variety of a surface

Seminar | September 4 | 2:10-3:30 p.m. | 939 Evans Hall


 Department of Mathematics

We'll continue to discuss a perfect Bott-Morse function on certain $SU(2)$ representation varieties associated to punctured surfaces following Thaddeus. The variety is a symplectic manifold, with a certain $U(1)$ Hamiltonian action on a subset which is a moment map for the Morse function away from the maximum and minimum critical levels. From this one may deduce that the Morse function is perfect.