Peng Zhou

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2022-12-18 Sunday

  • What is a handle-slide? Oszvath-Szabo has a nice article here.
  • How do we see if the two Lagrangian torus are equivalent or not?

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2023-06-21

I don't like the feeling of 'having to do something', such as, writing this paper. I need to persuade myself again and again to write it. The only reason that I have is, I need to write this paper, so I am done with it. That's not a good feeling.

Andrei is saying, writing paper is not a waste of time. The process of telling a coherent story forces one to think better and express better. So, here I am.

I think the obstacle for me to write anything is a lack of 'actionable' plan. I don't like the word of 'actionable', maybe call it 'executable'. Let me think about what I need to do here.

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2023-06-20

  • muse on euler class

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2023-06-18

  • still working on Teleman's shift operation

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2023-06-17

  • equivariant cohomology and localization

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2023-06-15

  • Discussion with all

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2023-06-11

  • Categorification of what action?

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2023-06-10

  • lattice and B-field

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2023-06-07

What is the B-side? For the simplest case, what is the $gl(1 | 1)$?

In the case where there is no puncture, and just k strand, we get the fermionic cylindrical Nil-Hecke algebra. $fcNH_k$. The nilCoxeter algebra, with 0 q-grading, but minus Maslov grading. Nontrivial differential.

There are two types of punctures. Now, suppose we have a single strand. Consider the superpotential of $z(1 + y(1+\cdots+x^n))$. This should corresponds to the space of $\C \times \C^2 / Z_n$. So here, we have a bunch of CY 2, locally, $T^*\P^1$, glued together, then times $\C$, a trivial bundle.

Consider the case: $\C^3$. What's the difference between $Tot O_{\P^1}(0, -2)$, and $Tot O_{\P^1}(-1, -1)$? They are both toric CY3.

2023-06-06

  • Action by correspondence, history of quiver Hecke algebra
  • Lie superalgebra

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blog/start.txt · Last modified: 2023/07/16 17:08 by pzhou