Peng Zhou

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blog:2022-11-07

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2022-11-07

  • Watched the youtube talk by Teleman at CMSA this year, on Kapustin-Rozanski-Saulina 2-category theory.
  • Reading the paper by Peter on DAHA and A-brane
  • Went to the seminar talk by Ivan

DAHA

One interesting thing is about this coisotropic brane. This was introduced by Kapustin-Orlov in 2001, then Aldi-Zaslow worked out an example, then Gukov-Witten, Gaiotto-Witten did some work on it. Still, there is no definition. Are these just module over the deformation quantization algebra?

DAHA has two parameters $A_{q,t}$. We suppose to have $$ A_{q,t} = O^q(X_{t}) $$ where $X_t$ is the moduli space of $SL(2,\C)$ local system on a once-punctured torus, where the monodromy over the puncture is $diag(t,1/t)$.

How is this related to the Fukaya category? Is this space exact symplectic or has non-trivial Kahler moduli?

blog/2022-11-07.1667886701.txt.gz · Last modified: 2023/06/25 15:53 (external edit)