PIRSA:17050005 Scientific Series Mathematical physics

DOI10.48660/17050005

Series: Mathematical Physics

Lin, Y. (2017). Symplectic realization of 4D Wall-Crossing Formula on HyperKahler Surfaces. Perimeter Institute. https://pirsa.org/17050005

Lin, Yu-Shen. Symplectic realization of 4D Wall-Crossing Formula on HyperKahler Surfaces. Perimeter Institute, May. 04, 2017, https://pirsa.org/17050005 

@misc{ pirsa_PIRSA:17050005,
  doi = {10.48660/17050005},
  url = {https://pirsa.org/17050005},
  author = {Lin, Yu-Shen},
  keywords = {Mathematical physics},
  language = {en},
  title = {Symplectic realization of 4D Wall-Crossing Formula on HyperKahler Surfaces},
  publisher = {Perimeter Institute},
  year = {2017},
  month = {may},
  note = {PIRSA:17050005 see, \url{https://pirsa.org}}
}

Abstract

In this talk, we will discuss an open Gromov-Witten invariant on hyperKahler surfaces, including K3 surfaces and certain Hitchin moduli spaces. The invariant is defined via the Lagrangian Floer theory and satisfy the Kontsevich-Soibelman wall-crossing formula and are expect to recover the generalized Donaldson-Thomas invariants studied in the work of Gaiotto-Moore-Neitzke.

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