New invariants in low-dimensional topology via quantum field theory

New Invariants in Low-Dimensional Topology via Quantum Field Theory   
 
This project aims to deepen the connection between geometry and physics by investigating shapes in three and four dimensions using quantum field theory and string theory. This will lead to, on the geometry side, novel tools to tackle important open problems in low-dimensional topology and, on the physics side, new insights toward quantum phases of matter, global properties of string theory, dynamics of quantum gravity and quantum computation. This grant will fund one PhD student and one postdoc.