PIRSA:17050087

Donaldson-Thomas transformations for moduli spaces of local systems on surfaces

(2017). Donaldson-Thomas transformations for moduli spaces of local systems on surfaces. Perimeter Institute. https://pirsa.org/17050087

Donaldson-Thomas transformations for moduli spaces of local systems on surfaces. Perimeter Institute, May. 31, 2017, https://pirsa.org/17050087 

          @misc{ pirsa_PIRSA:17050087,
            doi = {10.48660/17050087},
            url = {https://pirsa.org/17050087},
            author = {},
            keywords = {Mathematical physics},
            language = {en},
            title = {Donaldson-Thomas transformations for moduli spaces of local systems on surfaces},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {may},
            note = {PIRSA:17050087 see, \url{https://pirsa.org}}
          }
Talk number
PIRSA:17050087
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Talk Type
Subject
Abstract

Kontsevich and Soibelman defined Donaldson-Thomas invariants of a 3d Calabi-Yau category with a stability condition. Any cluster variety gives rise to a family of such categories. Their DT invariants are encapsulated in single formal automorphism of the cluster variety, called the DT-transformation. An oriented surface S with punctures, and a finite number of special points on the boundary give rise to a moduli space, closely related to the moduli space of PGL(m)-local systems on S, which carries a canonical cluster Poisson variety structure. We determine the DT-transformation of this space. This is a joint work with Alexander Goncharov.