Thursday, May 22, 2014
3:00 PM -
5:00 PM
Geometry and Topology Seminar
A Morse-Bott approach to Pin(2)-monopole Floer homology
Francesco Lin,
Grad Student,
Mathematics,
MIT,
Manolescu has recently given a negative answer to the celebrated Triangulation conjecture (first stated by Kneser in 1924). His disproof relies on the construction of a new invariant of spin rational homology three spheres obtained by studying the Seiberg-Witten equations from a homotopy-theoretic point of view. In the present talk we discuss how to construct the analoguous invariants in the Morse-theoretic framework of Kronheimer and Mrowka's monopole Floer homology. This approach works on every three manifold and is (somehow) functorial under cobordisms.
Event Sponsors:
For more information, please contact Yi Ni by email at [email protected].