PIRSA:09050042

Symplectic Vortices and a Quantum Kirwan map

Ziltener, F. (2009). Symplectic Vortices and a Quantum Kirwan map. Perimeter Institute. https://pirsa.org/09050042

Ziltener, Fabien. Symplectic Vortices and a Quantum Kirwan map. Perimeter Institute, May. 10, 2009, https://pirsa.org/09050042 

          @misc{ pirsa_PIRSA:09050042,
            doi = {10.48660/09050042},
            url = {https://pirsa.org/09050042},
            author = {Ziltener, Fabien},
            keywords = {},
            language = {en},
            title = {Symplectic Vortices and a Quantum Kirwan map},
            publisher = {Perimeter Institute},
            year = {2009},
            month = {may},
            note = {PIRSA:09050042 see, \url{https://pirsa.org}}
          }

Fabien Ziltener University of Toronto

DOI 10.48660/09050042
Collection
Talk Type Conference

Abstract

"A Hamiltonian action of a Lie group on a symplectic manifold $(M,\omega)$ gives rise to a gauge theoretic deformation of the Cauchy-Riemann equations, called the symplectic vortex equations. Counting solutions of these equations over the complex plane leads to a quantum version of the Kirwan map. In joint work with Christopher Woodward, we interpret this map as a weak morphism of cohomological field theories."