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Higher representations of $gl(1|1)^+$

By Raphaël Rouquier

Also appears in collection : Symplectic representation theory / Théorie symplectique des représentations

Heegaard-Floer theory is a 4-dimensional topological fi theory. It has been partially extended down to dimension 2: Lipshitz-Oszvath-Thurston constructed a differential algebra for a surface equipped with some extra structure. Douglas and Manolescu started building a partial extension down to dimension 1. I will discuss joint work with Andy Manion where we explain a gluing mechanism for surfaces. This is based on the construction of a monoidal 2-category of 2-representations of $gl(1|1)^+$.

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Citation data

  • DOI 10.24350/CIRM.V.19512503
  • Cite this video ROUQUIER, Raphaël (03/04/2019). Higher representations of $gl(1|1)^+$. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19512503
  • URL https://dx.doi.org/10.24350/CIRM.V.19512503

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