PIRSA:20100022

Quasimaps and BPS counts

APA

Liu, H. (2020). Quasimaps and BPS counts. Perimeter Institute. https://pirsa.org/20100022

MLA

Liu, Henry. Quasimaps and BPS counts. Perimeter Institute, Oct. 08, 2020, https://pirsa.org/20100022

BibTex

          @misc{ pirsa_PIRSA:20100022,
            doi = {10.48660/20100022},
            url = {https://pirsa.org/20100022},
            author = {Liu, Henry},
            keywords = {Mathematical physics},
            language = {en},
            title = {Quasimaps and BPS counts},
            publisher = {Perimeter Institute},
            year = {2020},
            month = {oct},
            note = {PIRSA:20100022 see, \url{https://pirsa.org}}
          }
          

Henry Liu Columbia University

Abstract

The theory of quasimaps to Nakajima quiver varieties X has recently been used very effectively by Aganagic, Okounkov and others to study symplectic duality. For certain X, namely Hilbert schemes of ADE surfaces, it turns out quasimap theory is equivalent to a particular flavor of Donaldson-Thomas theory on a related threefold Y. I will explain this equivalence and how it intertwines concepts and tools from the two sides. For example, symplectic duality has something to say about the crepant resolution conjecture for Y.