PIRSA:16040076 Conference Mathematical physics

DOI10.48660/16040076

Conference/School: Deformation Quantization of Shifted Poisson Structures

Spaide, T. (2016). Symplectic and Lagrangian structures on mapping stacks. Perimeter Institute. https://pirsa.org/16040076

Spaide, Theodore. Symplectic and Lagrangian structures on mapping stacks. Perimeter Institute, Apr. 19, 2016, https://pirsa.org/16040076 

@misc{ pirsa_PIRSA:16040076,
  doi = {10.48660/16040076},
  url = {https://pirsa.org/16040076},
  author = {Spaide, Theodore},
  keywords = {Mathematical physics},
  language = {en},
  title = {Symplectic and Lagrangian structures on mapping stacks},
  publisher = {Perimeter Institute},
  year = {2016},
  month = {apr},
  note = {PIRSA:16040076 see, \url{https://pirsa.org}}
}

Abstract

An important result in shifted symplectic geometry is the existence of shifted symplectic forms on mapping spaces with symplectic target and oriented source. I provide several examples of more complicated situations where stacks of maps shifted symplectic structures, or maps between them have Lagrangian structures. These include spaces of framed maps, pushforwards of perfect complexes, and perfect complexes on open varieties.

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