PIRSA:16040078 Conference Mathematical physics

DOI10.48660/16040078

Conference/School: Deformation Quantization of Shifted Poisson Structures

Treumann, D. (2016). The Maslov cycle and the J-homomorphism. Perimeter Institute. https://pirsa.org/16040078

Treumann, David. The Maslov cycle and the J-homomorphism. Perimeter Institute, Apr. 19, 2016, https://pirsa.org/16040078 

@misc{ pirsa_PIRSA:16040078,
  doi = {10.48660/16040078},
  url = {https://pirsa.org/16040078},
  author = {Treumann, David},
  keywords = {Mathematical physics},
  language = {en},
  title = {The Maslov cycle and the J-homomorphism},
  publisher = {Perimeter Institute},
  year = {2016},
  month = {apr},
  note = {PIRSA:16040078 see, \url{https://pirsa.org}}
}

Abstract

Let L be an exact Lagrangian submanifold of a cotangent bundle T^* M. If a topological obstruction vanishes, a local system of R-modules on L determines a constructible sheaf of R-modules on M -- this is the Nadler-Zaslow construction. I will discuss a variant of this construction that avoids Floer theory, and that allows R to be a ring spectrum. The talk is based on joint work with Xin Jin.

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